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On Certain Unified Integrals Involving General Class of Polynomials and the Multivariable H-function

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Abstract

In the present paper we evaluate two infinite integrals involving the product of two general classes of polynomials and the multivariable H -function with general arguments. These integrals are unified in nature and we can derive from them a large number of integrals involving simpler functions and polynomials as their particular cases. It maybe pointed out here that in the present paper we have also corrected an integral recorded erroneously in the well known book by Gradshteyn I. S. and Ryzhik I. M. [1, p.346, eq.3.257] .

참고문헌 (3)

  1. "Table of Integrals Some bilateral generating functions for a class ofhypergeometric polynomials TheH -functions of One and TwoVariables with Applications A Treatise on generating Functions A multilinear generating function for Konhauser set of biorthogonal", Academic Press.H. M. Srivastava and R. Panda Ellis Hor-wod Ltd. Chichester John Wiley and Sons
  2. "Pacific J. Math.", 117, pp.183~ (1985)
  3. "Some integrals involving a general class of polynomials"

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