Eulerian integral associated with product of two multivariable I-functions,
 a class of polynomials and the multivariable A-function

F.Y.Ayant

doi:https://doi.org/10.14445/22315373/IJMTT-V44P528

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 44 | Number 3 | Year 2017 | Article Id. IJMTT-V44P528 | DOI : https://doi.org/10.14445/22315373/IJMTT-V44P528

Eulerian integral associated with product of two multivariable I-functions, a class of polynomials and the multivariable A-function

F.Y.Ayant

Abstract

The present paper is evaluated a new Eulerian integral associated with the product of two multivariable I-functions defined by Prasad [2] a generalized Lauricella function , a class of multivariable polynomials and multivariable A-function with general arguments . We will study the case concerning the multivariable H-function defined by Srivastava et al [8] and Srivastava-Daoust polynomial [5].

Keywords

Eulerian integral, multivariable I-function, generalized Lauricella function of several variables, multivariable A-function, generalized hypergeometric function, class of polynomials

References

[1] 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.
[2] Y.N. Prasad , Multivariable I-function , Vijnana Parishad Anusandhan Patrika 29 ( 1986 ) , page 231-237.
[3] Saigo M. and Saxena R.K. Unified fractional integral formulas for the multivariable H-function I. J.Fractional Calculus 15 (1999), page 91-107.
[4] Sharma C.K.and Ahmad S.S.: On the multivariable I-function. Acta ciencia Indica Math , 1994 vol 20,no2, p 113- 116.
[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 H-function. Rev. Roumaine Phys. 32(1987), page 685-692.
[7] Srivastava H.M. and Karlsson P.W. Multiple Gaussian Hypergeometric series. Ellis.Horwood. Limited. New-York, Chichester. Brisbane. Toronto , 1985.
[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.

Citation :

F.Y.Ayant, "Eulerian integral associated with product of two multivariable I-functions, a class of polynomials and the multivariable A-function," International Journal of Mathematics Trends and Technology (IJMTT), vol. 44, no. 3, pp. 160-174, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V44P528