An Unified Study of Some Multiple Integrals with Multivariable Gimel-Function

Frederic Ayant

An Unified Study of Some Multiple Integrals with Multivariable Gimel-Function

Frederic Ayant *

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An Unified Study of Some Multiple Integrals with Multivariable Gimel-Function

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Abstract

In this paper, we first evaluate a unified and general finite multiple integral whose integrand involves the product of the functions and the multivariable Gimel-function occurring in the integrand involve the product of factors of the form while that of occurring herein involves a finite series of such finite series of such factors. On account of the most general nature of the functions occurring in the integrand of our main integral, a large number of new and known integrals can easily be obtained from ot merely by specializing the functions and parameters involved therein. At the end of this study, we illustrate a new integral whose integrand involves a product of the Jacobi polynomial, the Appell’s function and the Bessel function

References

14 Cites in Article

Reference Format

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Frederic Ayant. 2018. "An Unified Study of Some Multiple Integrals with Multivariable Gimel-Function". Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 18 (GJSFR Volume 18 Issue F6).

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GJSFR Volume 18 Issue F6

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

Not Found

Classification

GJSFR-F Classification 33C99

33C60

44A20

Submission ReceivedJune 22, 2018
Peer Review Double Blind
Handling Editor
Accepted July 14, 2018
Published July 27, 2018

Version of record

v1.2

Issue date

August 10, 2018

Language

English

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Article Matrices

Total Score: 175

Country: France

Subject: Global Journal of Science Frontier Research

Authors: Frederic Ayant (PhD/Dr. count: 0)

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Publish Date: 2018 07, Fri

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