Some erdélyi-kober fractional integrals of the extended hypergeometric functions

S. Jain; R. Goyal; P. Agarwal; Clemente Cesarano; Juan L.G. Guirao

Some erdélyi-kober fractional integrals of the extended hypergeometric functions

S. Jain
, R. Goyal
, P. Agarwal
, Clemente Cesarano
, Juan L.G. Guirao

Nonlinear Dynamic Research Centre (NDRC)

Poornima College of Engineering
International College of Engineering
International Telematic University Uninettuno
Technical University of Cartagena

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

This paper aims to establish some new formulas and results related to the Erdélyi-Kober fractional integral operator applied to the extended hypergeometric functions. The results are expressed as the Hadamard product of the extended and confluent hypergeometric functions. Some special cases of our main results are also derived.

Original language	English
Title of host publication	Advances in Special Functions of Fractional Calculus
Subtitle of host publication	Special Functions in Fractional Calculus and Their Applications in Engineering
Publisher	Bentham Science Publishers
Pages	259-269
Number of pages	11
ISBN (Electronic)	9789815079333
ISBN (Print)	9789815079340
State	Published - 11 Apr 2023

Keywords

Beta function
Confluent hypergeometric function
Erdélyi-Kober fractional integral operators
Gamma Function
Gauss hypergeometric function
Hadamard product
extended hypergeometric functions

Cite this

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title = "Some erd{\'e}lyi-kober fractional integrals of the extended hypergeometric functions",

abstract = "This paper aims to establish some new formulas and results related to the Erd{\'e}lyi-Kober fractional integral operator applied to the extended hypergeometric functions. The results are expressed as the Hadamard product of the extended and confluent hypergeometric functions. Some special cases of our main results are also derived.",

keywords = "Beta function, Confluent hypergeometric function, Erd{\'e}lyi-Kober fractional integral operators, Gamma Function, Gauss hypergeometric function, Hadamard product, extended hypergeometric functions",

author = "S. Jain and R. Goyal and P. Agarwal and Clemente Cesarano and Guirao, \{Juan L.G.\}",

year = "2023",

month = apr,

day = "11",

language = "English",

isbn = "9789815079340",

pages = "259--269",

booktitle = "Advances in Special Functions of Fractional Calculus",

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Some erdélyi-kober fractional integrals of the extended hypergeometric functions. / Jain, S.; Goyal, R.; Agarwal, P. et al.
Advances in Special Functions of Fractional Calculus: Special Functions in Fractional Calculus and Their Applications in Engineering. Bentham Science Publishers, 2023. p. 259-269.

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

TY - CHAP

T1 - Some erdélyi-kober fractional integrals of the extended hypergeometric functions

AU - Jain, S.

AU - Goyal, R.

AU - Agarwal, P.

AU - Cesarano, Clemente

AU - Guirao, Juan L.G.

PY - 2023/4/11

Y1 - 2023/4/11

N2 - This paper aims to establish some new formulas and results related to the Erdélyi-Kober fractional integral operator applied to the extended hypergeometric functions. The results are expressed as the Hadamard product of the extended and confluent hypergeometric functions. Some special cases of our main results are also derived.

AB - This paper aims to establish some new formulas and results related to the Erdélyi-Kober fractional integral operator applied to the extended hypergeometric functions. The results are expressed as the Hadamard product of the extended and confluent hypergeometric functions. Some special cases of our main results are also derived.

KW - Beta function

KW - Confluent hypergeometric function

KW - Erdélyi-Kober fractional integral operators

KW - Gamma Function

KW - Gauss hypergeometric function

KW - Hadamard product

KW - extended hypergeometric functions

UR - https://www.scopus.com/pages/publications/85204273316

M3 - Chapter

AN - SCOPUS:85204273316

SN - 9789815079340

SP - 259

EP - 269

BT - Advances in Special Functions of Fractional Calculus

PB - Bentham Science Publishers

ER -

Some erdélyi-kober fractional integrals of the extended hypergeometric functions

Abstract

Keywords

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