Eulerian integral associated with product of two multivariable Aleph-functions, generalized Lauricella function and a class of polynomials and Multivariable I-function defined by Nambisan 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-V40P505

MLA

F.Y Ayant "Eulerian integral associated with product of two multivariable Aleph-functions, generalized Lauricella function and a class of polynomials and Multivariable I-function defined by Nambisan I", International Journal of Mathematics Trends and Technology (IJMTT). V40(1):53-66 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 Aleph-functions , a generalized Lauricella function ,a class of multivariable polynomials and Multivariable I-function defined by Nambisan [1] with general arguments . We will study the case concerning the multivariable I-function defined by Sharma et al.

References
[1] 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.
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[3] Sharma C.K.and Ahmad S.S.: On the multivariable I-function. Acta ciencia Indica Math , 1994 vol 20,no2, p 113- 116.
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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 Aleph-function, generalized hypergeometric function, class of polynomials.