Certain properties of the generalized gauss hypergeometric functions

Praveen Agarwal

doi:10.12785/amis/080526

Certain properties of the generalized gauss hypergeometric functions

Praveen Agarwal

International College of Engineering

Research output: Contribution to journal › Article › peer-review

27 Scopus citations

Abstract

In this paper, we aim at establishing certain integral transform and fractional integral formulas for the generalized Gauss hypergeometric functions, which was introduced and studied by özergin et al. [J. Comput. Appl. Math. 235(2011), 4601-4610]. All the results derived here are of general character and can yield a number of (known and new) results in the theory of integral transforms and fractional integrals.

Original language	English
Pages (from-to)	2315-2320
Number of pages	6
Journal	Applied Mathematics and Information Sciences
Volume	8
Issue number	5
DOIs	https://doi.org/10.12785/amis/080526
State	Published - Sep 2014
Externally published	Yes

Keywords

Beta function
Fractional integral operators
Generalized beta functions
Generalized gauss hypergeometric functions
Integral transforms

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10.12785/amis/080526

Cite this

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title = "Certain properties of the generalized gauss hypergeometric functions",

abstract = "In this paper, we aim at establishing certain integral transform and fractional integral formulas for the generalized Gauss hypergeometric functions, which was introduced and studied by {\"o}zergin et al. [J. Comput. Appl. Math. 235(2011), 4601-4610]. All the results derived here are of general character and can yield a number of (known and new) results in the theory of integral transforms and fractional integrals.",

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AB - In this paper, we aim at establishing certain integral transform and fractional integral formulas for the generalized Gauss hypergeometric functions, which was introduced and studied by özergin et al. [J. Comput. Appl. Math. 235(2011), 4601-4610]. All the results derived here are of general character and can yield a number of (known and new) results in the theory of integral transforms and fractional integrals.

KW - Beta function

KW - Fractional integral operators

KW - Generalized beta functions

KW - Generalized gauss hypergeometric functions

KW - Integral transforms

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DO - 10.12785/amis/080526

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JO - Applied Mathematics and Information Sciences

JF - Applied Mathematics and Information Sciences

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ER -

Certain properties of the generalized gauss hypergeometric functions

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Keywords

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