An Unified Study of Some Multiple Integrals

Article ID

3RF24

An Unified Study of Some Multiple Integrals

FY. AY. Ant
FY. AY. Ant
DOI

Abstract

In this paper, we first evaluate unified finite multiple integrals whose integrand involves the product of the generalized hypergeometric function, general class of multivariable polynomials , the series expansion of multivariable A-function, a sequence of functions and the multivariable I-function. The arguments occurring in the integrand involve the product of factors of the form while that of occurring herein involves a finite series of such coefficients. On account of the most general nature of the functions happening in the integrand of our integral, a large number of new and known integrals can be obtained from it merely by specializing the functions and parameters involved here. At the end, we shall see two corollaries.

An Unified Study of Some Multiple Integrals

In this paper, we first evaluate unified finite multiple integrals whose integrand involves the product of the generalized hypergeometric function, general class of multivariable polynomials , the series expansion of multivariable A-function, a sequence of functions and the multivariable I-function. The arguments occurring in the integrand involve the product of factors of the form while that of occurring herein involves a finite series of such coefficients. On account of the most general nature of the functions happening in the integrand of our integral, a large number of new and known integrals can be obtained from it merely by specializing the functions and parameters involved here. At the end, we shall see two corollaries.

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 F3): .

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Issue Cover
GJSFR Volume 18 Issue F3
Pg. 11- 22
Classification
GJSFR-F Classification: MSC 2010: 33C99, 33C60, 44A20
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An Unified Study of Some Multiple Integrals

FY. AY. Ant
FY. AY. Ant

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