New Unified Integral Involving General Polynomials of Multivariable H-function

Neelam Pandey¹ and Ashiq Hussain Khan^1,

¹Department of Mathematics Govt. Girl’s P. G. College Rewa (M. P.), India

Cite this paper:
Neelam Pandey and Ashiq Hussain Khan. New Unified Integral Involving General Polynomials of Multivariable H-function. American Journal of Applied Mathematics and Statistics. 2017; 5(1):11-13. doi: 10.12691/ajams-5-1-3

Abstract

In the present paper, the author establish new unified integral whose integral contains products of H-function of several complex variable [1] and a general polynomials given by Srivastava [2] with general arguments. A large number of integrals involving various simpler functions follow as special cases of this integral.

Keywords:
multivariable H-function general polynomials G-function hypergeometric function

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References:

[1]	H. M. Srivastava and R. Panda, Some bilateral generating function for a class of generalized hypergeometric polynomials, J. Raine Angew. Math 283/284 (1996), 265-274.
[2]	H. M. Srivastava, A multilinear generating function for the konhauser sets of bi-orthogonal polynomials suggested by the Laguerre polynomials, Pacific J. Math. 117 (1985) 183-191.
[3]	H. M. Srivastava, A contour integral involving Fox’s H-function, India J. Math. 14 (1972) 1-6.
[4]	F. Oberhettinger, Tables of Mellin transforms (Berlin, Heidelberg, New York: Springer-Verlag) (1974) p.22.
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[6]	Mrigula Gang and Shweta Mittal, on a new unified integral, Proc. India Acad. Sci. (Math. Sci.) vol. 114, 2 (2004), pp. 99-101.