Selberg Integral Involving the Product of Multivariable Special Functions

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SI6KM

Selberg Integral Involving the Product of Multivariable Special Functions

FY. AY. Ant
FY. AY. Ant
DOI

Abstract

The Selberg integral was an integral first evaluated by Selberg in 1944. The aim of the present paper is to estimate generalized Selberg integral. It involves the product of the general class of multivariable polynomials, multivariable I-function and modified multivariable H-function. The result is believed to be new and is capable of giving a large number of integrals involving a variety of functions and polynomials as its cases. We shall see several corollaries and particular cases at the end.

Selberg Integral Involving the Product of Multivariable Special Functions

The Selberg integral was an integral first evaluated by Selberg in 1944. The aim of the present paper is to estimate generalized Selberg integral. It involves the product of the general class of multivariable polynomials, multivariable I-function and modified multivariable H-function. The result is believed to be new and is capable of giving a large number of integrals involving a variety of functions and polynomials as its cases. We shall see several corollaries and particular cases at the end.

FY. AY. Ant
FY. AY. Ant

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Frederic Ayant. 2018. “. Global Journal of Science Frontier Research – F: Mathematics & Decision GJSFR-F Volume 18 (GJSFR Volume 18 Issue F4): .

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Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

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GJSFR-F Classification: MSC 2010: 33C60, 82C31
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Selberg Integral Involving the Product of Multivariable Special Functions

FY. AY. Ant
FY. AY. Ant

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