009983   Reddaiah P;Sreenivasulu M;Siva Prasad R (Mathematics Dep, Sri Krishna Devaraya Univ, S.V. Puram, Anantapur-515 003) : Convective heat transfer of a viscous heat generating fluid through a porous medium in an elliptic duct-a finite element approach. Acta Cienc Indica-Math 2008, 34(2), 525-39.

Investigates the free convective flow and heat transfer in a viscous heat generating fluid in a saturated porous portion of duct is insulated while the upper half is maintained at constant temperature. The Galerkin finite element method with six noded triangular elements is adopted to obtain the iterative solution for the stream function and temperature governed by the coupled non-linear equations. The flow being symmetric, the expressions for velocity and temperature are obtained in typical quadrant of elliptic duct. The interaction of various forces acting on the fluid and heat transfer is clearly brought out through various profiles of the velocity and temperature. The local rate of heat transfer is also investigated computationally.

12 illus, 3 tables

009982   Reddaiah P;Prasada Rao D R V (Mathematics Dep, Sri Krishnadev Araya Univ, S.V. Puram, Anantpur-515 003) : Effect of periodic suction on M.H.D. heat transfer flow of a viscous fluid through a porous medium bounded by a vertical porous plate. Acta Cienc Indica-Math 2008, 34(2), 849-61.

Analyses of heat transfer flow of an incompressible, viscous fluid past a hot vertical wall with transverse sinusoidal periodic suction velocity distribution. The flow is three dimensional although the dependence of the velocity and the temperature variables along the z-direction (direction of variation of suction) is confined to sinusoidal variation, keeping in view the imposed periodic suction distribution. The velocity and the temperature distributions have been calculated for different variations in the governing parameters. The shear stress and the rate of heat transfer have been evaluated for different variations.

8 illus, 2 tables, 13 ref

009981   Rawat K S;Silswal G P (Mathematics Dep, H.N.B. Garhwal Univ Campus, Badshahi Thaul, Tehri, Garhwal-249 199) : Union curves in an almost tachibana hypersurface. Acta Cienc Indica-Math 2008, 34(2), 779-88.

Union curves of a Riemannian hypersurface has been defined and studied by Springer. Studies the union curves and union curvature in an almost Tachibana Hypersurface. The expression for the Geodesic curvature of the Union curves with respect to a convergence has been obtained and several theorems have been established and proved.

8 ref

009980   Rathore S K;Shukla A;Singh D P (Maths & Applied Science Dep, B.M.A.S. Engg. College, Agra, Uttar Pradesh) : Unsteady MHD stratified flow of viscous fluid through porous medium between parallel plates. Acta Cienc Indica-Math 2008, 34(2), 927-32.

Deals with an unsteady MHD stratified flow of viscous fluid in a longitudinal channel in the presence of transverse magnetic induction. The effect of changes in the velocity and stratification have been illustrated with the help of graphs. The graphs between the effects of change in magnetic field and the velocity profile have also been plotted.

1 illus, 12 ref

009979   Ramaraj T;Manimehalai S (Mathematics Dep, A.V.V.M., Sri Puspam College (Autonomous), Poondi-613 503) : Fuzzy decision making using intervals. Acta Cienc Indica-Math 2008, 34(2), 913-19.

Determining the exact value of the attributes precisely is difficult in some cases and as a result of this fact, their values are considered as intervals. The rating of each alternative and the weights of each criterion are given in triangular fuzzy numbers. In the process of normalization of the fuzzy decision matrix, the triangular fuzzy numbers are converted into intervals using α-cuts. These intervals which are inturn normalized are transformed into normalized fuzzy numbers. With the help of a new distance defined and using TOPSIS method the ranking of the alternatives is calculated.

8 tables, 6 ref

009978   Prasad P M V;Raveendra Nath P;Prasada Rao D R V (Mathematics Dep, D.K. Govt. Degree College for Women, Nellore, Andhra Pradesh) : Transient hydromagnetic convective heat and mass transfer through a porous medium induced by a travelling thermal wave on a vertical channel. Acta Cienc Indica-Math 2008, 34(2), 677-92.

Unsteady convective heat transfer in a vertical channel with travelling thermal waves imposed on the bounding walls by using a perturbation technique the governing equations are solved. The shear stress and the rate of heat transfer are numerically evaluated for different variations of the parameters.

12 illus, 7 tables, 12 ref

009977   Prasad B;Verma R K;De U C (Mathematics Dep, S.M.M. Town (P.G.) College, Ballia-277 001, Email: bp-kushwaha@sify.com) : On a type of semi-symmetric connection on a riemannian manifold. Bull Calcutta Mathl Soc 2008, 100(3), 227-40.

Introduce a new type of semi-symmetric connection on a Riemannian manifold and obtain some properties of the curvature tensor of such a connection.

21 ref

009976   Pradhan A;Samal S K;Mahanti N C (Applied Mathematics Dep, Birla Institute of Technology, Mesra, Ranchi-835 215) : Surface waves in a liquid porous solid layer bounded by elastic half-space and liquid layer. Bull Calcutta Mathl Soc 2008, 100(3), 213-26.

Dispersion of surface waves is studied in a liquid saturated porous layer overlying a transversely isotropic elastic half space and lying under the uniform liquid layer. The frequency equation is obtained in the form of a determinant of order ten. Frequency equations have been deduced for some special cases by reducing the breadth of liquid layer to zero and by changing the layer to upper half-space. Dispersion curves for phase velocity have been drawn for a particular model, based on observed data.

2 illus, 15 ref

009975   Philomina M T;Sunny Kuriakose A (Mathematics Dep, St. Joseph's College, Irinjalakuda-680 121, Email: mt.philomina@rediffmail.com) : More on frame-groups. Int J mathl Sci 2007, 6(1), 117-25.

Frame is viewed as an extension of Topology. So it is natural to ask whether there is a reasonable generalization of topological groups to frame-groups. We did this in an earlier paper. Since the group operation depends on points we prefer to introduce the concept of frame on a set to develop the concept of frame-group. Investigation is continued by considering concepts like subgroups, quotient groups and products.

4 ref

009974   Panigrahi U K;Patra R N (NO, Academy of Technocrat, Gajapati Nagar Square, Berhampur-10) : Plane symmetric inhomogeneous macro models. Acta Cienc Indica-Math 2008, 34(2), 893-7.

Investigated the plane symmetric inhomogeneous macro models in Einstein's theory of gravitation. Some physical and geometrical aspects of the models are discussed.

7 ref

009973   Pandey P N;Gupta M K (Mathematics Dep, Allahabad Univ, Allahabad, Email: manishkg_1982@yahoo.com) : On a four-dimensional finsler space of scalar curvature. Bull Calcutta Mathl Soc 2008, 100(3), 327-36.

Concept of a Finsler space of scalar curvature was given by L. Berwald (1947). M. Matsumoto (1986) discussed a three-dimensional Finsler space of scalar curvature. T.N. Pandey and D.K. Diwedi (1997) and the present authors (2004) discussed a four-dimensional Finsler space in terms of scalars. In this paper, we obtain an expression for the h-curvature tensor R_hijk of a four-dimensional Finsler space and also study a four-dimensional Finsler space of scalar curvature.

6 ref

009972   Padmavathi A;Redaiah P;Prasad Rao D R V (Mathematics Dep, Sri Krishnadevaraya Univ, S.V. Puram, Anantapur-515 003) : Unsteady hydromagnetic convective heat and mass transfer through a porous medium in a rotating channel. Acta Cienc Indica-Math 2008, 34(2), 871-88.

Hydro magnetic heat and mass transfer convection flow of an viscous, electrically conducting fluid through a porous medium in rotating parallel plate channel in the presence of a constant heat source. The perturbations in the flow are created by a constant pressure gradient long the plates in addition to non-torsional oscillations of the lower plate. The exact solutions of the velocity, the temperature and the concentration fields consist of the steady state and the transient components. The time required for the transient effects to decay is discussed in detail and the ultimate steady state consists of boundary layers on the plates and an interior. Attention is focused on the physical nature of the solutions, and the structure of the various kinds of boundary layers formed on the plates. The final steady state velocity, the temperature and the concentration fields are numerically discussed for different values of the governing parameters. The shear stress, the Nusselt number and the Sherwood numbers are tabulated.

8 illus, 2 tables

009971   O'Regan D (Mathematics Dep, National Univ of Ireland, Galway, Ireland, Email: donal.oregan@nuigalway.ie) : Random fixed points and a Leray-Schauder alternative for random multivalued generalized contractive maps. Int J mathl Sci 2007, 6(1), 1-9.

Number of fixed point results for generalized multivalued contractive maps. Arguments rely on the notion of hemicompact and on a deterministic fixed point.

6 ref

009970   Nzimbi B M;Pokhariyal G P;Khalagai J M (School of Mathematics, College of Biological and Physical Sciences, Nairobi Univ, P.O. Box 30197, Nairobi, Kenya, Email: nzimbi@uonbi.ac.ke) : Note on similarity, almost-similarity and equivalence of operators. Far East J mathl Sci 2008, 28(2), 305-17.

Almost-similar and similar relations between operators on finite-dimensional Hilbert spaces are investigated. It is shown that almost-similar operators share some properties with some other classes of operators. Various results on almost-similarity and similarity are proved. An attempt is made to classify those operators where almost-similarity implies similarity. We investigate some properties of corresponding parts of operators which enjoy these equivalence relations.

12 ref

009969   Nishimura H (Institute of Mathematics, Tsukuba Univ, Tsukuba, Ibaraki 305-8571, Japan) : Another coboundary operator for differential forms with values in the Lie algebra of a group - A chapter in synthetic differential geometry of groupoids. Far East J mathl Sci 2008, 28(2), 273-90.

Kock has considered differential forms with values in a group in a context where neighborhood relations are available. By doing so, he has made it clear where the socalled Maurer-Cartan formula should come from. Retains the classical definition of differential form with values in the Lie algebra of a group, we propose another definition of coboundary operator for the de Rham complex in a highly general microlinear context, in which neighborhood relations are no longer in view. Using this new definition of the coboundary operator, it is to be shown that the main result of Kock's paper still prevails in general microlinear context. Considerations will be carried out within the framework of groupoids.

12 ref

009968   Negi U S (Mathematics Dep, H.N.B. Garhwal Univ, Campus Badshahithaul, Tehri Garhwal-249 199) : Some investigations in Kaehlerian spaces with recurrent H-curvature tensors. Acta Cienc Indica-Math 2008, 34(2), 941-7.

Sinha (1973) has studied H-curvature tensors in Kaehler manifold. In the present paper. Defined and studied Kaehlerian conharmonic recurrent spaces. The necessary and sufficient condition for a Kaehlerian conharmonic recurrent space to be Kaehlerian recurrent has been established. Several other theorems have also been derived in Kaehlerian spaces with recurrent H-curvature tensors.

7 ref

009967   Navalagi G;Sajjanshettar G M (Mathematics Dep, KLE Society's G.H. College, Haveri-581 110, Email: gnavalagi@hotmail.com) : Pre weakly continuous functions. Int J mathl Sci 2007, 6(1), 85-96.

In 1985, T. Noiri et al and in 1987, Malghan et al have defined the notion of semi-weakly continuous functions and weakly semicontinuous functions, respectively using semiopen sets and semiclosure operators in topology. In this paper, we define and study the notion of pre weakly continuous functions via preopen sets and preclosure operators as a natural generalizations of precontinuous function due to A. S. Mashhour et al (1982), also characterize the fundamental properties of these functions.

27 ref

009966   Navalagi G;Page M H (Mathematics Dep, KLE Society's G. H. College, Haveri-581 110, Email: gnavalagi@hotmail.com) : G.Λα-open and G.Λα-homeomorphisms. Int J mathl Sci 2007, 6(1), 107-16.

Introduced generalized homeomorphisms. For this three new classes of functions, namely, generalized g.Λ_α-open, generalized g.Λ^C_α-Homeomorphisms and g.Λ^I_α-Homeomorphisms, by using g.Λ_α-sets, which are generalization of α-open functions and generalization of homeomorphisms.

12 ref

009965   Mukherjee A;Chakraborty S B (Mathematics Dep, Tripura Univ, Surjyamaninagar, Agartala-799 130) : Intuitionistic fuzzy contra R-continuity. Acta Cienc Indica-Math 2008, 34(2), 635-8.

Aim is to introduce a new concept intuitionistic fuzzy contra R - continuity with the help of intuitionistic fuzzy regular closed and intuitionistic fuzzy regular open sets.

7 ref

009964   Mukherjee A;Chakraborty S B (Mathematics Dep, Tripura Univ, Surjyamaninagar, Agartala-799 130) : On fuzzy contra-generalized semi pre continuous function. Acta Cienc Indica-Math 2008, 34(2), 551-5.

Studies the concept of fuzzy contra-generalized semi pre continuous function. Also investigates some basic properties of this concept and its relationships with other existing functions.

16 ref

009963   Mothebe M (Mathematics Dep, Botswana Univ, Botswana, Email: mothebem@mopipi.ub.bw) : Dimensions of subspaces of the polynomial algebra F₂[x₁, ..., X_n] generated by spikes. Far East J mathl Sci 2008, 28(2), 417-30.

Let n ≥ 1 and d ≥ 0 be integers. Let P(n) = F₂[x₁, ..., x_n] be the polynomial algebra in n-variables x_j over the field F₂ of two elements and let A be the mod-2 Steenrod algebra. Gives a formula for computing B(n, d), the number of degree d monomials of the form x₁²λ₁-1 x₂²λ₂-1 ... x_n²λ_n-1 (called spikes) in P(n). Motivation for this question comes from algebraic topology where P(n) is identified with the mod-2 cohomology group of the n,-fold product of RP∞ with itself and thereby receives its module structure over A. The value of B(n, d) is of interest in the problem of determining a basis for the quotient vector space P(n)/A^{+P(n) of the polynomial algebra by the image of the positive part A+ of the Steenrod algebra [1, 11, 13].}

13 ref

009962   Mondal C R (Mathematics Dep, North-Eastern Hill Univ, Shillong 793002, Meghalaya) : Shallow-water waves due to oscillatory pressure distribution on a running stream. Bull Calcutta Mathl Soc 2008, 100(3), 301-10.

Initial-value problem is solved for the generation of two-dimensional waves by an oscillatory pressure acting on the surface of a running stream of finite depth. In place of the usual contour-integration technique, the problem is treated with the aid of generalised functions. The wave integral is subjected to an asymptotic analysis which follows essentially a method due to Bleistein (1966), and which remains uniform even near the critical line produced by the coalescing of the pole and the stationary point of the wave spectrum.

2 illus, 5 ref

009961   Mandal B C;Mazumdar H P (NO, Jalpaiguri Govt. Engineering College, Jalpaiguri-735 102) : Examination of Persen's theory on two dimensional turbulent boundary layer. Bull Calcutta Mathl Soc 2008, 100(3), 259-78.

Persen's theory on the structure of wall bounded turbulent boundary layer with zero pressure-gradient in the light of recent measurements by Osterlund has been examined. The theory introduces the assumption that the entire turbulent boundary layer be divided into two regions e.g., an inner region wherein a universally valid structure prevails and an outer region which can be described by a new wake law. It is shown that the establishment of the theory depends on an experimentally supported relation between the non-dimensional velocity at the end point of the boundary layer and the corresponding non-dimensional distance From the wall. The solution to the problem is achieved by another relation between this velocity and the local Reynolds number. The coefficients of skin-friction and velocity profiles, as obtained here for a range of high Reynolds numbers are found to be in good agreement with Osterlund's data. Finally, the discrepancies between the earlier measurements of Weighardt/Tillmann and Osterlund's measurements are explained in the context of their applicability to the verification of Persen's theory.

11 illus, 2 tables, 10 ref

009960   Lu W;Zhang T (Applied Mathematics Dep, Petroleum Univ, Dongying 257061, P.R. China, Email: uplvwr@yahoo.com.cn) : On uniqueness of a meromorphic function with its derivative. J Analysis Applic 2008, 6(1), 41-53.

Deals with the problem of uniqueness of a meromorphic function sharing one small function with its derivative and obtain some results which extend the theorems of Lahiri, Yu, Zhang et al.

9 ref

009959   Liu X;Yuan D;Yang S (Math. and Inform. Tech. Dep, Hanshan Normal Univ, Chaozhou, Guangdong, 521041, China, Email: ydhlxl@sohu.com) : Sufficient conditions for isolated locally optimal solutions: semismooth case. Int J mathl Sci 2007, 6(1), 63-9.

Discusses the properties of locally isolated optimal solution of nonlinear programming under semismooth assumptions, obtains some sufficient conditions of locally isolated optimal solution, which extends the results of Shapiro and Al-Khayyal[4] and Zhai [5].

8 ref

009958   Lifeng L;Libin L (College of Computer and Information, Fujian Agriculture and Foresty Univ, Fuzhou 650002, P.R.China, Email: linlf.2007@163.com) : Sub-domain precise integration compact implicit scheme with high accuracy for solving four order parabolic equation. J Computnl Math optimiz 2008, 4(1), 31-7.

Based on sub-domain precise integration method, a unconditional stable compact scheme containing parameter a > 0 for solving the periodic initial value problem of four order parabolic equation is presented, the local truncation error is O ((Δt)² + α (Δt)² + (Δx)⁶). The numerical example shows that the scheme constructed is effective and correct in theoretical analysis.

2 tables, 5 ref

009957   Lee J (Mathematics Dep, Pusan National Univ, Pusan 609-735, South Korea, Email: jklee235@pusan.ac.kr) : Characterization for Besov space and bloch space of invariant harmonic function in the unit ball. Far East J mathl Sci 2008, 28(2), 381-94.

On the unit ball B of Cⁿ, obtains a norm equivalence of L^p(K) space for an invariant harmonic function. Using the quantity for the L^p(B) norm, gives characterizations of the invariant harmonic Besov space and Bloch space, which are extending the known results for the holomorphic case in the unit disk or the unit ball.

11 ref

009956   Kim Y;Lee D (School of Liberal Arts and Education, Korea Univ of Technology and Education, Cheonan 350-708, Korea, Email: yikim28@kut.ac.kr) : Nonpositively curved singular surfaces containing balls with infinite area. Far East J mathl Sci 2008, 28(2), 441-8.

Construct a 2-dimensional length space of nonpositive curvature in the sense of Alexandrov with a property that balls centered at a fixed point of any radius have infinite 2-dimensional Hausdorff measure and infinite circumference.

3 ref

009955   Kim Y I;Lee D (School of Liberal Arts and Education Korea Univ of Technology and Educ, , Cheonan 330-708, Korea, Email: yikim28@kut.ac.kr) : Intrinsic proof of the generalized Hadamard-Cartan theorem. Far East J mathl Sci 2008, 28(3), 721-5.

Proves in a simple intrinsic way that every pair of two points in a singular Hadamard space is connected by a unique shortest path.

4 ref

009954   Khedr F H;Al-Saadi H S (Mathematics Dep, Faculty of Sciences, Assiut Univ, Assiut 715161, Egypt, Email: khedrfathi@hotmail.com) : On pairwise θ-semi-generalized closed sets. Far East J mathl Sci 2008, 28(2), 395-415.

As a continuation of the study of generalized closed sets in bitopological spaces, introduce and study the class of θ-semi-generalized closed sets which properly placed between the classes of semi-generalized closed sets and semi θ-closed sets. A fundamental properties of pairwise θ-semi-generalized closed sets obtained by utilizing semi θ-closure operator. Extens the class of pairwise generalized Λ-sets to the class of pairwise θ-generalized sΛ-sets.

13 ref

009953   Khalilzadeh G;Faroughi M H (Mathematics Dep, Tabriz Univ, Tabriz, Iran, Email: gh_khalilzadeh@yahoo.com) : Compact metric space of the lattice of varieties and *-varieties of C*-algebras. Int J mathl Sci 2007, 6(1), 51-62.

Variety of Banach algebras is a non-empty class of Banach algebras in which there exist a family of laws such that all of its members satisfy all of the laws. In this paper, we have used merely mathematical items such as Banach algebras and varieties including Banach algebras in order to change the space of all varieties of Banach algebras into a compact metric space, Some theorems in the metric space of zero at infinity varieties, have been proved, define the '-varieties of *-algebra and prove many theorems about *-varieties of C*-algebras.

7 ref

009952   Kaewcharoen A (Mathematics Dep, Faculty of Science, Naresuan Univ, Phitsanulok 65000, Thailand, Email: anchaleeka@nu.ac.th) : Ultranets and fixed point theorems for multivalued nonexpansive mappings. Far East J mathl Sci 2008, 28(2), 291-303.

Let E be a nonempty weakly compact convex subset of a Banach space which satisfies property (D'), i.e., an inequality concerning the asymptotic radii of two ultranets. Proves that a multivalued nonexpansive and 1 - X -contractive mapping T : E → KC(X) has a fixed point.

22 ref

009951   Juma A R S;Kulkarni S R;Raina R K (Mathematics Dep, Pune Univ, Pune-411 007, Email: absa662004@yahoo.com) : Some results associated with the analytic part of harmonic univalent functions. Far East J mathl Sci 2008, 28(2), 341-52.

Introduced a new class MA_H(α, β, γ) of harmonic univalent functions defined in the open unit disk. Derives the fundamental geometric properties like the coefficient bound inequality, distortion theorems and radii of starlikeness, close-to-convexity and convexity for the analytic part of the harmonic function belonging to the class MA_H(α, β, γ). Applications of fractional calculus operators are exhibited in establishing the distortion theorems.

7 ref

009950   Jha H C (Mathematics Dep, C.M. Science College, Darbhanga, Bihar) : Category theory versus set theory and algebraic structure. Acta Cienc Indica-Math 2008, 34(2), 889-91.

Relevant properties of mathematical objects which share consistency with isomorphic objects. The difference between such formulation and Lawver's reviews differ in context of abstraction and isomorphism. The main aim is to discuss the essential role of set theory in formulating the idea of isomorphism in terms of identity of 'abstract structure'. Discusses here 'abstract structure' in set-theoretical basis of isomorphism. Lawvere's observation regarding the superfluity of set-theoretical methods is vague. Attempts have been made to discuss the characteristic features of set theory and category method structure. There is no opposition between a 'set-theoretical' structure, and a category-theoretical structures.

6 ref

009949   Jha H (Mathematics Dep, C.M. Science College, Darbhanga, Bihar) : Some contribution to category theory and set theory. Acta Cienc Indica-Math 2008, 34(2), 567-9.

Certain concepts in topology have remarkable resemblance to those from other branches of Mathematics. The main aim is to isolate the common features to various branches of Mathematics by the concept of category theory. Purpose is to introduce category theory in groups, rings, fields and other algebraic structures. Also we examine the relevant properties of the Mathematical objects which are consistent with some isomorphic objects. Aim is to discuss the essential role of set theory in formulating the idea of isomorphism in terms of abstract structure. Attempts have been made to discuss the characteristic features of set theory and category theory. A great contribution in this regard has been made by Eilenberg & Maclane.

4 ref

009948   Ishizuka M;Nakagawa S;Hachiga T;Ishida H (Mechanics System Engineering Dep, Toyama Prefectural Univ, Imizu 939-0398, Japan) : Application of a thermal network method to non-steady thermal analysis of electronic devices. Far East J mathl Sci 2008, 28(3), 667-80.

Thermal network method was applied to the non-steady thermal analysis of thermal heads used in high speed thermal printers and was also applied to the non-steady thermal analysis of phase change process of the ink with some proposed models. The paper describes the thermal network modeling and the relationships among pertinent parameters, such as heating duration and applied power, which can be easily measured as compared to temperature, by varying the protective layer thickness and glazed layer thickness as example parameters. It was found that the thermal network method is a very useful tool from the viewpoint of preliminary thermal design for electronic devices due to its simplicity and that the effects of the parameters, such as the protective layer thickness and the glazed layer thickness, on the thermal performance of the thermal printer head become stronger for a shorter heating duration. This means that thermal analysis is very important especially in designing high speed thermal printers.

10 illus, 7 ref

009947   Hejazian S;Mirzavaziri M;Shatery T L (Mathematics Dep, Ferdowsi Univ of Mashhad, P.O. Box 1159, Mashhad 91775, Iran, Email: hejazian@ferdowsi.um.ac.ir) : Higher derivations on banach algebras. J Analysis Applic 2008, 6(1), 1-15.

Range and automatic continuity of higher derivations on Banach algebras has been introduced that every spectrally bounded strong higher derivation on a commutative Banach algebra maps into the radical, and every strong higher derivation on an arbitrary Banach algebra leaves the prime radi-cal invariant. It is also proved that a strong higher derivation with nilpotent separating space leave each primitive ideal invariant. As a consequence every strong higher derivation with nilpotent separating space on a commutative Banach algebra maps into the radical. We also obtain some results on automatic continuity of (φ, ψ)-derivations on semisimple Banach algebras which are applied to prove continuity of higher derivations on semisimple Banach algebras in certain cases.

19 ref

009946   Harendra Singh;Rajendra Kumar (Mathematics Dep, M.M.H. College, Ghaziabad) : Fractional integrals involving general class of polynomials, Fox's H-function and multivariable H-function. Bull Calcutta Mathl Soc 2008, 100(3), 241-8.

Unified integral whose integrand involves the product of a general class of polynomials, Fox's H-function and the multivariable H-function having general arguments has been evaluated. The special cases of the main integral (which are also sufficiently general in nature and are of interest in themselves) have also been given. Finally, the main integral formula has been expressed as a generalized Weyl fractional integral operator to make it more useful in applications.

7 ref

009945   Haldar K (NO, Physics and Applied Mathematics Unit Indian Statistical Institute, I203, Barrackpore Trunk Road, Kolkata-700 108) : Some exact solutions of linear fluid flow problems by modified decomposition method. Bull Calcutta Mathl Soc 2008, 100(3), 283-300.

Represents the applications of Adomian's modified decomposition method. This modified method has been applied to linear ordinary and partial differential equations with constant and variable coefficients. A few physical examples of linear fluid flow problems have been considered in order to make the theory clear as far as possible. The solutions of the problems for illustrating the modified decomposition method are all exact.

10 ref

009944   Gupta V G;Jain S (Mathematics Dep, Rajasthan Univ, Jaipur-302 004) : Fox's H-function and vibration in a string. Acta Cienc Indica-Math 2008, 34(2), 733-6.

Solution of the partial differential equation ∂²u/∂t² = v² ∂²u/∂x² for vibration in a string by expressing its shape in terms of Fox's H-function has been obtained the solution is believed to be general and unified in nature. A number of (known or new) results follow as special cases, simply by specializing the parameters involved therein, which proves to be useful in several interesting situations in the literature on applied mathematics and mathematical physics.

6 ref

009943   Gupta S;Singh T P (Mathematics Dep, H.E.C., Jagadhari, Haryana) : Minimization of rental cost in 3-stage flow shop with parallel machines including transportation time. Acta Cienc Indica-Math 2008, 34(2), 629-34.

Discusses n-jobs 3-machines flow shop scheduling such that each job requires processing on k-parallel machines (called equipotential machines) at first stage and then on other succeeding machines in a specified order. The transportation time taken by jobs from one machine to other is given. The objective is to minimize overall rental cost under predefined rental policy. The Branch and Bound technique has been applied to solve the problem. A numerical example is given to illustrate the procedure.

12 ref

009942   Gopalan M A;Kaliga Rani J (Mathematics Dep, National College, Tricy, Tamil Nadu) : Special puthagorean triangle. Acta Cienc Indica-Math 2008, 34(2), 867-70.

Patterns of Pythagorean Triangles for each of which the Hypotenuse added with ratio (Area/Perimeter) is a Perfect square.

9 ref

009941   Gopalan M A;Janaki G (Mathematics Dep, National College, Tiruchirapalli-620 001) : Observation on Y<. Acta Cienc Indica-Math 2008, 34(2), 693-4.

Many Pythagorean triangles have been obtained, where, in each of which the hypotenuse is four times the product of the generators added with unity. A few interesting relations among the sides are also given.

1 table, 6 ref

009940   Gnaneswara Reddy M;Sankar Reddy T;Bhaskar Reddy N (Mathematics Dep, Sri Venkateswara Univ, Tirupati-517 502) : Radiation and mass transfer flow past a semi-inifinite moving vertical plate with viscous dissipation. Acta Cienc Indica-Math 2008, 34(2), 639-52.

Objectives of the study are to investigate the radiation effects on unsteady heat and mass transfer flow of a chemically reacting fluid past a semi-infinite vertical plate with viscous dissipation. The method of solution can be applied for small perturbation approximation. Numerical results for the velocity, the temperature and the concentration are shown graphically. The expressions for the skin-frication, Nusselt number and Sherwood number are obtained. The results show that increased cooling (Gr > 0) of the plate and the Eckert number leads to a rise in the velocity profile. The increase in radiation parameter with decrease in the velocity. Also, an increase in the Eckert number leads to an increase in the temperature, whereas increase in radiation parameter lead to a decrease in the temperature distribution when the plate is being cooled.

6 illus, 9 ref

009939   Gayathri B;Duraisamy M (Mathematics Dep, Periyar E.V.R. College, Tiruchirappalli, Tamil Nadu) : Even edge graceful labeling of bistar graph. Acta Cienc Indica-Math 2008, 34(2), 811-15.

Lo introduced the notion of edge graceful graphs. An even edge graceful labeling was also introduced. Investigates the even edge graceful labeling of bistar graph.

5 illus, 5 ref

009938   Gayathri B;Amuthavalli K (Lecturer (S.G.) in mathematics, Periyar E.V.R. College, Trichy-23) : k-ODD mean labeling of the graph (K_1.n, K_1,m). Acta Cienc Indica-Math 2008, 34(2), 827-34.

Graph (K_1,n,K_1,m) is defined as the graph obtained by joining the centre of the star K_1,n and the centre of the star K_1,m to a new vertex w. Proves that the graph (K_1,n,K_1,m) for m = n, n + 1, n + 2 are k-odd mean graph and for m > n + 2 is not a k-odd mean graph.

4 illus, 12 ref

009937   Ganesan K (Mathematics Dep, S. R. M. Univ, Kattankulathur, Chennai-603 203, Email: gansan_k@yahoo.com) : On arithmetic operations of symmetric trapezoidal fuzzy numbers. Int J mathl Sci 2007, 6(1), 11-21.

Introducing a new set of arithmetic operations on symmetric trapezoidal fuzzy numbers and a simple ranking for the comparison of symmetric trapezoidal fuzzy numbers, we propose a theory for the study of arithmetic operations on symmetric trapezoidal fuzzy numbers.

12 ref

009936   Fukuchi Y;Oshima A (Mathematical Information Science Dep, Tokyo Univ of Sci, Shinjuku-ku, Tokyo 162-8601, Japan) : Super-edge-magic labeling of trees with large diameter. Far East J mathl Sci 2008, 28(3), 497-571.

For a graph G, a bijection f from V(G)U E(G) to {1,2,...,|V(G)| + |E(G)|} is called a super-edge-magic labeling of G if f(V(G)) = {1, 2, ..., | V(G)|] and if there exists a constant C such that f(x) + f(y) + f(xy) = C for every edge xy ∈ E(G). In this paper, we show that if T is a tree with diameter greater than or equal to | V(G) | - 5, then T has a super-edge-magic labeling.

6 ref

009935   Fujiwara H;Matsuura T;Saitoh S;Sawano Y (Graduate School of Informatics, Kyoto Univ, Kyoto, 606-8501, Japan) : Real inversion of the laplace transform in numerical singular value decomposition. J Analysis Applic 2008, 6(1), 55-68.

Real inversion of the Laplace transform has been realsed numerically. Approach is to use the numerical singular value decomposition of the Laplace transform operator in a certain reproducing kernel Hilbert space. Singular systems play an important role in inverse analysis of ill-posed problems from the viewpoint of functional analysis. Their numerical realization will be achieved by the proposed singular value decomposition.

8 ref

009934   Ferrentino R;Raucci R (Economic Sciences and Statistics Dep, Salerno Univ, Fisciano (Sa), Italy, Email: rferrentino@unisa.it) : On the games of stackelberg and their applications in economic models. J Computnl Math optimiz 2008, 4(1), 1-14.

Study of optimization problems generated by games of Stackelberg and of consequent applications to the model of the duopoly.

17 ref