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

  IJMTT-book-cover
 
International Journal of Mathematics Trends and Technology (IJMTT)
 
© 2016 by IJMTT Journal
Volume-40 Number-1
Year of Publication : 2016
Authors : F.Y Ayant
  10.14445/22315373/IJMTT-V40P506

MLA

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). V40(1):67-78 December 2016. 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 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].

References
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[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.
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[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..

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