Eulerian integral associated with product of two multivariable Aleph-functions and classes of polynomials

  IJMTT-book-cover
 
International Journal of Mathematics Trends and Technology (IJMTT)
 
© 2017 by IJMTT Journal
Volume-42 Number-3
Year of Publication : 2017
Authors : F.Y. Ayant
  10.14445/22315373/IJMTT-V42P524

MLA

F.Y. Ayant "Eulerian integral associated with product of two multivariable Aleph-functions and classes of polynomials ", International Journal of Mathematics Trends and Technology (IJMTT). V42(3):227-241 February 2017. ISSN:2231-5373. www.ijmttjournal.org. Published by Seventh Sense Research Group.

Abstract
The present paper is evaluated a new Eulerian integral associated with the product of two multivariable Aleph-functions, a generalized Lauricella function , a classes of multivariable polynomials with general arguments . We will study the case concerning the multivariable H-function defined by Srivastava et al [7] and Srivastava-Daoust polynomial [4].

References
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[3] 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.
[4] 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.
[5] 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.
[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.

Keywords
Eulerian integral, multivariable I-function, Lauricella function of several variables, multivariable Aleph-function, generalized hypergeometric function