On a General Class of Multiple Eulerian Integrals with Multivariable A-Functions

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G387B

On a General Class of Multiple Eulerian Integrals with Multivariable A-Functions

Frederic Ayant
Frederic Ayant
DOI

Abstract

Recently, Raina and Srivastava and Srivastava and Hussain have provided closed-form expressions for a number of an Eulerian integral involving multivariable H-functions. Motivated by these recent works, we aim at evaluating a general class of multiple Eulerian integrals concerning the product of two multivariable A-functions defined by Gautam et Asgar[4], a class of multivariable polynomials and the extension of the Hurwitz-Lerch Zeta function. These integrals will serve as a fundamental formula from which one can deduce numerous useful integrals.

On a General Class of Multiple Eulerian Integrals with Multivariable A-Functions

Recently, Raina and Srivastava and Srivastava and Hussain have provided closed-form expressions for a number of an Eulerian integral involving multivariable H-functions. Motivated by these recent works, we aim at evaluating a general class of multiple Eulerian integrals concerning the product of two multivariable A-functions defined by Gautam et Asgar[4], a class of multivariable polynomials and the extension of the Hurwitz-Lerch Zeta function. These integrals will serve as a fundamental formula from which one can deduce numerous useful integrals.

Frederic Ayant
Frederic Ayant

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Frederic Ayant. 2017. “. Global Journal of Science Frontier Research – F: Mathematics & Decision GJSFR-F Volume 17 (GJSFR Volume 17 Issue F8): .

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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: 05C45
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On a General Class of Multiple Eulerian Integrals with Multivariable A-Functions

Frederic Ayant
Frederic Ayant

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