Version-1 (Nov-Dec 2015)
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| Paper Type | : | Research Paper |
| Title | : | On Some Continuous and Irresolute Maps In Ideal Topological Spaces |
| Country | : | India |
| Authors | : | M. Navaneethakrishnan || P. Periyasamy || S. Pious Missier |
Abstract:In this paper we introduce some continuous and irresolute maps called
[1]. Balachandran, P.Sundaram and H. Maki, On generalized continuous maps in topological spaces, Mem, Fac. Sci. Kochi Univ. ser. A,
Math., 12(1991), 5-13.
[2]. Dotchev J., M.Ganster and T. Noiri, Unified approach of generalized closed sets via topological ideals, Math. Japonica, 49(1999),
395-401.
[3]. Dotchev, J. and M.Ganster, On - generalized closed sets and T3/4 – spaces, Mem. Fac. Sci. Kochi Univ.Ser. A, Math., 17(1996),
15-31.
[4]. Kuratowski, Topology, Vol.I, Academic Press (New York, 1966).
[5]. Levine N. Semi- open sets and semi – continuity in topological spaces Amer math. Monthly, 70 (1963), 36-41.
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| Paper Type | : | Research Paper |
| Title | : | Finite Triple Integral Representation For The Polynomial Set Tn(x1,x2,x3,x4) |
| Country | : | India |
| Authors | : | Ahmad Quaisar Subhani || Brijendra Kumar Singh |
Abstract: Recently,we introduced "An unification of certain generalized Geometric polynomial Set T
n
(x1,x2,x3,x4) ,with the help of generating function which contains Appell function of four variables in
the notation of Burchnall and Choundy [4] associated with Lauricella function. This generated
hypergeometric polynomial Set covers as many as thirty four orthogonal and non -orthogonal
polynomials.In the present paper an attempt has been made to express a Triple finite integral
representation of the polynomial set T
n
(x1,x2,x3,x4).
Key words:-Appell function, Lauricella form, Generalized hypergeometric polynomial.
[1]. Agarwal, R.P. (1965):An extension of Meijer's G-function, Proc. Nat. Institute Sci. India, 31, a, 536-546.
[2]. Abdul Halim, N and:A characterization of Laguerre polynomials,
AI_Salam, W.A. (1964) Rend, Sem, Univ., padova, 34,176 -179.
[3]. Agarwal, B.D. and:On a multivariate polynomials system
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| Paper Type | : | Research Paper |
| Title | : | A Coupled Thermoelastic Problem of A Half – Space Due To Thermal Shock on the Bounding Surface. |
| Country | : | India |
| Authors | : | Dr. Ashoke Das |
Abstract: This paper is concerned with the determination of temperature and displacement of a half space bounding surface due to thermal shock. This paper deals with the place boundary of the half-space is free of stress and is subjected to a thermal shock. Moreover , the perturbation method is employed with the thermoelastic coupling facter ԑ as the perturbation parameter. The Laplace transform and its inverse with very small thermoelastic coupling facter ԑ are used. The deformation field is obtained for small values of time. 𝑃𝑎𝑟𝑖𝑎 7 has formulated different types of thermal boundary condition problems.
[1] ATKINSON,K.E.(1976); A survey of Numerical Methods for the solution of Fredholm-Integral Equation of the Second – Kind Society of Industial and applied Mathematics, Philadelphia,Pa.
[2] CARSLAW, H.S. AND JAEGER,J.C.(1959); Conduction of heat in Solids, 2nd Edn.O.U.P.
[3] SNEDDON,I.N.(1972); The Use of Integral Transform, McGraw Hill, New-York. [4] SOKOLNIKOFF, I.S. (1956); Mathematical theory of Elasticity, McGraw Hill Book Co.
[5] WASTON, G.N. (1978); A Treatise on the Theory of Bessel Functions, 2nd Edn.C.U.P.
[6] NOWACKI, W. (1986); Thermoelasticity, 2nd End. Pergamon Press.