Some integral transforms and fractional integral formulas for the extended hypergeometric functions

Praveen Agarwal; Junesang Choi; Krunal B. Kachhia; Jyotindra C. Prajapati; Hui Zhou

doi:10.4134/CKMS.c150213

Some integral transforms and fractional integral formulas for the extended hypergeometric functions

Praveen Agarwal
, Junesang Choi
, Krunal B. Kachhia
, Jyotindra C. Prajapati
, Hui Zhou

International College of Engineering
Charotar University of Science and Technology
Marwadi Education Foundation Group of Institutions
Hefei Normal University

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

7 Scopus citations

Abstract

Integral transforms and fractional integral formulas involving well-known special functions are interesting in themselves and play important roles in their diverse applications. A large number of integral transforms and fractional integral formulas have been established by many authors. In this paper, we aim at establishing some (presumably) new integral transforms and fractional integral formulas for the generalized hypergeometric type function which has recently been introduced by Luo et al. [9]. Some interesting special cases of our main results are also considered.

Original language	English
Pages (from-to)	591-601
Number of pages	11
Journal	Communications of the Korean Mathematical Society
Volume	31
Issue number	3
DOIs	https://doi.org/10.4134/CKMS.c150213
State	Published - 2016
Externally published	Yes

Keywords

Beta function
Decomposition formula
Extended beta function
Extended generalized hypergeometric functions
Fractional integral operators
Gamma function
Generalized hypergeometric functions
Integral transforms

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10.4134/CKMS.c150213

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title = "Some integral transforms and fractional integral formulas for the extended hypergeometric functions",

abstract = "Integral transforms and fractional integral formulas involving well-known special functions are interesting in themselves and play important roles in their diverse applications. A large number of integral transforms and fractional integral formulas have been established by many authors. In this paper, we aim at establishing some (presumably) new integral transforms and fractional integral formulas for the generalized hypergeometric type function which has recently been introduced by Luo et al. [9]. Some interesting special cases of our main results are also considered.",

keywords = "Beta function, Decomposition formula, Extended beta function, Extended generalized hypergeometric functions, Fractional integral operators, Gamma function, Generalized hypergeometric functions, Integral transforms",

author = "Praveen Agarwal and Junesang Choi and Kachhia, \{Krunal B.\} and Prajapati, \{Jyotindra C.\} and Hui Zhou",

note = "Publisher Copyright: {\textcopyright} 2016 Korean Mathematical Society.",

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doi = "10.4134/CKMS.c150213",

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T1 - Some integral transforms and fractional integral formulas for the extended hypergeometric functions

AU - Agarwal, Praveen

AU - Choi, Junesang

AU - Kachhia, Krunal B.

AU - Prajapati, Jyotindra C.

AU - Zhou, Hui

PY - 2016

Y1 - 2016

N2 - Integral transforms and fractional integral formulas involving well-known special functions are interesting in themselves and play important roles in their diverse applications. A large number of integral transforms and fractional integral formulas have been established by many authors. In this paper, we aim at establishing some (presumably) new integral transforms and fractional integral formulas for the generalized hypergeometric type function which has recently been introduced by Luo et al. [9]. Some interesting special cases of our main results are also considered.

AB - Integral transforms and fractional integral formulas involving well-known special functions are interesting in themselves and play important roles in their diverse applications. A large number of integral transforms and fractional integral formulas have been established by many authors. In this paper, we aim at establishing some (presumably) new integral transforms and fractional integral formulas for the generalized hypergeometric type function which has recently been introduced by Luo et al. [9]. Some interesting special cases of our main results are also considered.

KW - Beta function

KW - Decomposition formula

KW - Extended beta function

KW - Extended generalized hypergeometric functions

KW - Fractional integral operators

KW - Gamma function

KW - Generalized hypergeometric functions

KW - Integral transforms

UR - https://www.scopus.com/pages/publications/84990946246

U2 - 10.4134/CKMS.c150213

DO - 10.4134/CKMS.c150213

M3 - Article

AN - SCOPUS:84990946246

SN - 1225-1763

VL - 31

SP - 591

EP - 601

JO - Communications of the Korean Mathematical Society

JF - Communications of the Korean Mathematical Society

IS - 3

ER -

Some integral transforms and fractional integral formulas for the extended hypergeometric functions

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Keywords

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