Euler type triple integrals involving, general class of polynomials
and multivariable A-function

F.Y.Ayant

doi:https://doi.org/10.14445/22315373/IJMTT-V44P535

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 44 | Number 4 | Year 2017 | Article Id. IJMTT-V44P535 | DOI : https://doi.org/10.14445/22315373/IJMTT-V44P535

Euler type triple integrals involving, general class of polynomials and multivariable A-function

F.Y.Ayant

Abstract

The aim of the present document is to evaluate three triple Euler type integrals involving general class of polynomials, special functions and multivariable A-function defined by Gautam et al [4]. Importance of our findings lies in the fact that they involve the multivariable A-function, which are the sufficiently general in nature and are capable of yielding a large number of simpler and useful results merely by specializing the parameters in them. Further we establish some special cases.

Keywords

A-function of several variables, triple Euler type integrals, special function, general class of polynomials, multivariable H-function Srivastava-Doust polynomial

References

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[4] Gautam B.P., Asgar A.S. and Goyal A.N. On the multivariable A-function. Vijnana Parishas Anusandhan Patrika Vol 29(4) 1986, page 67-81.
[5] Srivastava H.M. and Daoust M.C. Certain generalized Neumann expansions associated with Kampé de Fériet function. Nederl. Akad. Wetensch. Proc. Ser A72 = Indag Math 31(1969) page 449-457.
[6] Srivastava H.M. And Garg M. Some integral involving a general class of polynomials and multivariable Hfunction. Rev. Roumaine Phys. 32(1987), page 685-692.
[7] Srivastava H.M., Gupta K.C. and Goyal S.P., the H-function of one and two variables with applications, South Asian Publications, NewDelhi (1982).
[8] H.M. Srivastava And R.Panda. Some expansion theorems and generating relations for the H-function of several complex variables. Comment. Math. Univ. St. Paul. 24(1975), p.119-137.
[9] Vyas V.M. and Rathie K., An integral involving hypergeometric function. The mathematics education 31(1997) page33

Citation :

F.Y.Ayant, "Euler type triple integrals involving, general class of polynomials and multivariable A-function," International Journal of Mathematics Trends and Technology (IJMTT), vol. 44, no. 4, pp. 245-259, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V44P535