Eulerian integral associated with product of two multivariable I-functions, generalized Lauricella function and a class of polynomials and expansion of multivariable I-function I

F.Y Ayant

doi:https://doi.org/10.14445/22315373/IJMTT-V40P506

International Journal of Mathematics Trends and Technology

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Volume 40 | Number 1 | Year 2016 | Article Id. IJMTT-V40P506 | DOI : https://doi.org/10.14445/22315373/IJMTT-V40P506

Eulerian integral associated with product of two multivariable I-functions, generalized Lauricella function and a class of polynomials and expansion of multivariable I-function I

F.Y Ayant

Abstract

The present paper is evaluated a new Eulerian integral associated with the product of two multivariable I-functions defined by Nambisan et al [2] a generalized Lauricella function , a class of multivariable polynomials and a expansion of multivariable I-function defined by Nambisan et al [2] with general arguments . We will study the case concerning the multivariable H-function defined by Srivastava et al [7].

Keywords

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

References

[1] B. L. J. Braaksma, “Asymptotic expansions and analytic continuations for a class of Barnes integrals,”Compositio Mathematical, vol. 15, pp. 239–341, 1964.
[2] Prathima J. Nambisan V. and Kurumujji S.K. A Study of I-function of Several Complex Variables, International Journalof Engineering Mathematics Vol(2014) , 2014 page 1-12
[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] Srivastava H.M. A multilinear generating function for the Konhauser set of biorthogonal polynomials suggested by Laguerre polynomial, Pacific. J. Math. 177(1985), page183-191
[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 Karlsson P.W. Multiple Gaussian Hypergeometric series. Ellis.Horwood. Limited. New-York, Chichester. Brisbane. Toronto , 1985.
[7] 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, generalized Lauricella function and a class of polynomials and expansion of multivariable I-function I," International Journal of Mathematics Trends and Technology (IJMTT), vol. 40, no. 1, pp. 67-78, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V40P506