Selberg Integral Involving the Product of Multivariable Special Functions

Selberg Integral Involving the Product of Multivariable Special Functions

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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P Forrester,S Warnaar (2008). The importance of the Selberg integral.
Charles Fox (1961). The $G$ and $H$ functions as symmetrical Fourier kernels.
Y Prasad (1986). Multivariable I-function.
Y Prasad,A Singh (1982). Basic properties of the transform involving and Hfunction of r-variables as kernel.
A Selberg (1944). Remarks on a multiple integral.
H Srivastava (1985). A multilinear generating function for the Konhauser sets of biorthogonal polynomials suggested by the Laguerre polynomials.
H Srivastava,R Panda (1975). Some expansion theorems and generating relations for the H-function of several complex variables.
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H Srivastava,N Singh (1983). The integration of certain products of the multivariableH-function with a general class of polynomials.

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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

FY. AY. Ant. 2018. "Selberg Integral Involving the Product of Multivariable Special Functions". 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

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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 ReceivedJanuary 1, 1970
Peer Review Double Blind
Handling Editor
Accepted January 1, 1970

Version of record

v1.2

Issue date

June 7, 2018

Language

English

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Article Matrices

Total Score: 175

Country: France

Subject: Global Journal of Science Frontier Research

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

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Publish Date: 2018 03, Thu

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