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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 55 | Number 6 | Year 2018 | Article Id. IJMTT-V55P559 | DOI : https://doi.org/10.14445/22315373/IJMTT-V55P559

Heat Conduction and Sequence of Functions Containing Generalized Hypergeometric Function


Dr.J.C.Arya, Dr.V.K.Ojha
Abstract

The main aim of this paper is to obtain the solution of heat conduction partial differential equation pertaining to sequence of functions containing generalized hypergeometric function and the multivariable I- function defined by Prathima et. al. [ 7 ]. Some particular cases related to H- function of several variables and I- function of two variables given by Rathi et. al. [11 ] are mentioned..

Keywords
Multivariable I-function, Heat conduction, Multivariable H-function, Sequence of functions
References

[1] F.Y. Ayant ,Heat conduction and multivariable I-function,Int.J.Adv.Math. and Mech.4(4) (2017) ,15-19.
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[3] B.L.J Braaksma, Asymptotic expansions and analytic continuations for a class of Barnes integrals, Compositio Mathematical 15 (1964) 239-341.
[4] V.B.L.Chaurasia, Heat conduction and the H-function of several complex variables, Jnanabha 13(1983), 39-46.
[5] R.V. Churchill, Fourier series and boundary value problems, McGraw-Hill Book Co., New York, 1942.
[6] A.Erdelyi et.al., Tables of integral transforms, II, McGraw-Hill , New York i,1954.
[7] J.Prathima,V.Nambisan , S.K. Kurumujji,A study of I-function of several complex variables, International Journal of Engineering Mathematics 2014 ,1-12.
[8] E.D.Rainville,Special functions, The Macmillan Company,New York,1960.
[9] S.B.Rao, J.C. Prajapati,A.K.Shukla, Some properties of Wright-type generalized hypergeometric function via fractional calculus, Advances in difference equations, 2014:119.
[10] A.K.Rathie, A new generalization of generalized hypergeometric function, Le Mathematiche 52(2).297-310.
[11] A.K.Rathie,K.S.Kumari, T.M.Vasudevan Nambisan, A study of I –function of two variables, Le Mathematiche 64(1),285-305.
[12] H.M. Srivastava, R. Panda, Some exapansion theorems and generating relations for the H-function of several complex variable, Comment.Math.Univ. St.Paul. 24(1975) ,119-137.
[13] H.M. Srivastava, R Panda, Some bilateral generating function for a class of generalized hypergeometric polynomials, Reine Angew Math 283/284,(1976), 265-274.

Citation :

Dr.J.C.Arya, Dr.V.K.Ojha, "Heat Conduction and Sequence of Functions Containing Generalized Hypergeometric Function," International Journal of Mathematics Trends and Technology (IJMTT), vol. 55, no. 6, pp. 445-449, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V55P559

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