Formulas for saigo fractional integral operators with 2F1 generalized k-struve functions

Gauhar Rahman; Kottakkaran Sooppy Nisar; Junesang Choi; Shahid Mubeen; Muhammad Arshad

doi:10.17654/MS102010055

Formulas for saigo fractional integral operators with ₂F₁ generalized k-struve functions

Gauhar Rahman
, Kottakkaran Sooppy Nisar
, Junesang Choi
, Shahid Mubeen
, Muhammad Arshad

Mathematics

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

6 Scopus citations

Abstract

We aim to present certain interesting, new and potentially useful formulas for the Saigo fractional integral operators involving the Gauss hypergeometric function ₂ F₁ which have the generalized k -Struve function as one of the kernel factors. The main results presented here are also shown to reduce to yield the corresponding identities regarding the Riemann-Liouville fractional integral operators and the Erdélyi-Kober fractional integral operators.

Original language	English
Pages (from-to)	55-66
Number of pages	12
Journal	Far East Journal of Mathematical Sciences
Volume	102
Issue number	1
DOIs	https://doi.org/10.17654/MS102010055
State	Published - 2017

Keywords

Erdélyi-Kober fractional integral operators
Fox-Wright function p Ψq
Gamma function
Generalized hypergeometric function p Fq
Generalized k -Struve function
K -gamma function
K -Pochhammer symbol
Pochhammer symbol
Riemann-Liouville fractional integral operators
Saigo fractional integral operators involving the Gauss hypergeometric function 2 F1

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10.17654/MS102010055

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title = "Formulas for saigo fractional integral operators with 2F1 generalized k-struve functions",

abstract = "We aim to present certain interesting, new and potentially useful formulas for the Saigo fractional integral operators involving the Gauss hypergeometric function 2 F1 which have the generalized k -Struve function as one of the kernel factors. The main results presented here are also shown to reduce to yield the corresponding identities regarding the Riemann-Liouville fractional integral operators and the Erd{\'e}lyi-Kober fractional integral operators.",

keywords = "Erd{\'e}lyi-Kober fractional integral operators, Fox-Wright function p Ψq, Gamma function, Generalized hypergeometric function p Fq, Generalized k -Struve function, K -gamma function, K -Pochhammer symbol, Pochhammer symbol, Riemann-Liouville fractional integral operators, Saigo fractional integral operators involving the Gauss hypergeometric function 2 F1",

author = "Gauhar Rahman and Nisar, \{Kottakkaran Sooppy\} and Junesang Choi and Shahid Mubeen and Muhammad Arshad",

note = "Publisher Copyright: {\textcopyright} 2017 Pushpa Publishing House, Allahabad, India.",

year = "2017",

doi = "10.17654/MS102010055",

language = "English",

volume = "102",

pages = "55--66",

journal = "Far East Journal of Mathematical Sciences",

issn = "0972-0871",

publisher = "Pushpa Publishing House",

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T1 - Formulas for saigo fractional integral operators with 2F1 generalized k-struve functions

AU - Rahman, Gauhar

AU - Nisar, Kottakkaran Sooppy

AU - Choi, Junesang

AU - Mubeen, Shahid

AU - Arshad, Muhammad

PY - 2017

Y1 - 2017

N2 - We aim to present certain interesting, new and potentially useful formulas for the Saigo fractional integral operators involving the Gauss hypergeometric function 2 F1 which have the generalized k -Struve function as one of the kernel factors. The main results presented here are also shown to reduce to yield the corresponding identities regarding the Riemann-Liouville fractional integral operators and the Erdélyi-Kober fractional integral operators.

AB - We aim to present certain interesting, new and potentially useful formulas for the Saigo fractional integral operators involving the Gauss hypergeometric function 2 F1 which have the generalized k -Struve function as one of the kernel factors. The main results presented here are also shown to reduce to yield the corresponding identities regarding the Riemann-Liouville fractional integral operators and the Erdélyi-Kober fractional integral operators.

KW - Erdélyi-Kober fractional integral operators

KW - Fox-Wright function p Ψq

KW - Gamma function

KW - Generalized hypergeometric function p Fq

KW - Generalized k -Struve function

KW - K -gamma function

KW - K -Pochhammer symbol

KW - Pochhammer symbol

KW - Riemann-Liouville fractional integral operators

KW - Saigo fractional integral operators involving the Gauss hypergeometric function 2 F1

UR - https://www.scopus.com/pages/publications/85020784738

U2 - 10.17654/MS102010055

DO - 10.17654/MS102010055

M3 - Article

AN - SCOPUS:85020784738

SN - 0972-0871

VL - 102

SP - 55

EP - 66

JO - Far East Journal of Mathematical Sciences

JF - Far East Journal of Mathematical Sciences

IS - 1

ER -

Formulas for saigo fractional integral operators with ₂F₁ generalized k-struve functions

Abstract

Keywords

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