Selberg Integral Involving the Product of Multivariable Special Functions

Selberg Integral Involving the Product of Multivariable Special Functions

Frederic Ayant

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FY. AY. Ant

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Selberg Integral Involving the Product of Multivariable Special Functions

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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.

References

10 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. \u201cSelberg Integral Involving the Product of Multivariable Special Functions\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 18 (GJSFR Volume 18 Issue F4): .

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GJSFR Volume 18 Issue F4
Pg. 1- 10

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

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Classification

GJSFR-F Classification: MSC 2010: 33C60, 82C31

Submission ReceivedMarch 22, 2018
Peer Review Double Blind
Handling Editor
Accepted March 29, 2018
Published May 28, 2018

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v1.2

Issue date

June 7, 2018

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Article Matrices

Total Score: 131

Country: France

Subject: Global Journal of Science Frontier Research - F: Mathematics & Decision

Authors: FY. AY. Ant (PhD/Dr. count: 0)

View Count (all-time): 151

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Total Downloads (simulated): 1484

Publish Date: 2018 06, Thu

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