Euler type triple integrals involving, general class of polynomials
and multivariable I-function defined by Prasad

F.Y.Ayant

doi:https://doi.org/10.14445/22315373/IJMTT-V44P533

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 44 | Number 4 | Year 2017 | Article Id. IJMTT-V44P533 | DOI : https://doi.org/10.14445/22315373/IJMTT-V44P533

Euler type triple integrals involving, general class of polynomials and multivariable I-function defined by Prasad

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 I-function defined by Prasad [4]. Importance of our findings lies in the fact that they involve the multivariable I-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

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

References

[1] Erdelyi, A., Higher Transcendental function, McGraw-Hill, New York, Vol 1 (1953).
[2] Exton, H, Handbook of hypergeometric integrals, Ellis Horwood Ltd, Chichester (1978)
[3] Garg O.P., Kumar V. and Shakeeluddin : Some Euler triple integrals involving general class of polynomials and multivariable H-function. Acta. Ciencia. Indica. Math. 34(2008), no 4, page 1697-1702.
[4] Y.N. Prasad , Multivariable I-function , Vijnana Parishad Anusandhan Patrika 29 ( 1986 ) , page 231-237.
[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 I-function defined by Prasad," International Journal of Mathematics Trends and Technology (IJMTT), vol. 44, no. 4, pp. 214-228, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V44P533