Pathway fractional integral formulas involving bessel functions of the first kind

Junksakg Choi; Praveen Agarwal

doi:10.17777/ascm.2015.25.2.221

Pathway fractional integral formulas involving bessel functions of the first kind

Junksakg Choi
, Praveen Agarwal

Dongcuk University
International College of Engineering

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

7 Scopus citations

Abstract

A remarkably large number of fractional integral formulas involving a variety of special functions have been developed by many authors. Here we present a composition formula of the so-called pathway fractional integration operator due to Nair with a finite product of Bessel functions of the first kind, which is expressed in terms of the generalized Lauricella function due to Srivastava and Daoust. Certain special cases of the results presented here are also considered and pointed out to correspond with some known pathway fractional integral formulas.

Original language	English
Pages (from-to)	221-231
Number of pages	11
Journal	Advanced Studies in Contemporary Mathematics (Kyungshang)
Volume	25
Issue number	2
DOIs	https://doi.org/10.17777/ascm.2015.25.2.221
State	Published - 1 Apr 2015
Externally published	Yes

Keywords

Bessel function of the first kind
Generalized hypergeometric series
Generalized lauricella series in several variables
Pathway fractional integral operator
Trigonometric series

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10.17777/ascm.2015.25.2.221

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abstract = "A remarkably large number of fractional integral formulas involving a variety of special functions have been developed by many authors. Here we present a composition formula of the so-called pathway fractional integration operator due to Nair with a finite product of Bessel functions of the first kind, which is expressed in terms of the generalized Lauricella function due to Srivastava and Daoust. Certain special cases of the results presented here are also considered and pointed out to correspond with some known pathway fractional integral formulas.",

keywords = "Bessel function of the first kind, Generalized hypergeometric series, Generalized lauricella series in several variables, Pathway fractional integral operator, Trigonometric series",

author = "Junksakg Choi and Praveen Agarwal",

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doi = "10.17777/ascm.2015.25.2.221",

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T1 - Pathway fractional integral formulas involving bessel functions of the first kind

AU - Choi, Junksakg

AU - Agarwal, Praveen

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N2 - A remarkably large number of fractional integral formulas involving a variety of special functions have been developed by many authors. Here we present a composition formula of the so-called pathway fractional integration operator due to Nair with a finite product of Bessel functions of the first kind, which is expressed in terms of the generalized Lauricella function due to Srivastava and Daoust. Certain special cases of the results presented here are also considered and pointed out to correspond with some known pathway fractional integral formulas.

AB - A remarkably large number of fractional integral formulas involving a variety of special functions have been developed by many authors. Here we present a composition formula of the so-called pathway fractional integration operator due to Nair with a finite product of Bessel functions of the first kind, which is expressed in terms of the generalized Lauricella function due to Srivastava and Daoust. Certain special cases of the results presented here are also considered and pointed out to correspond with some known pathway fractional integral formulas.

KW - Bessel function of the first kind

KW - Generalized hypergeometric series

KW - Generalized lauricella series in several variables

KW - Pathway fractional integral operator

KW - Trigonometric series

UR - https://www.scopus.com/pages/publications/84930434774

U2 - 10.17777/ascm.2015.25.2.221

DO - 10.17777/ascm.2015.25.2.221

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EP - 231

JO - Advanced Studies in Contemporary Mathematics (Kyungshang)

JF - Advanced Studies in Contemporary Mathematics (Kyungshang)

IS - 2

ER -

Pathway fractional integral formulas involving bessel functions of the first kind

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Keywords

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