Certain saigo fractional derivatives of extended hypergeometric functions

S. Jain; R. Goyal; P. Agarwal; S. Momani

Certain saigo fractional derivatives of extended hypergeometric functions

S. Jain
, R. Goyal
, P. Agarwal
, S. Momani

Nonlinear Dynamic Research Centre (NDRC)

Poornima College of Engineering
International College of Engineering
University of Jordan

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

Abstract

This article aims to establish Saigo fractional derivatives of extended hypergeometric functions. Some special cases of these integrals 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	244-258
Number of pages	15
ISBN (Electronic)	9789815079333
ISBN (Print)	9789815079340
State	Published - 11 Apr 2023

Keywords

Beta function
Confluent hypergeometric function
Gamma Function
Gauss hypergeometric function
Hadamard product
Reimann-Liouville fractional derivative operator
Reimann-Liouville fractional integral operator
Saigo-fractional derivative operator
Saigo-fractional integral operator

Cite this

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title = "Certain saigo fractional derivatives of extended hypergeometric functions",

abstract = "This article aims to establish Saigo fractional derivatives of extended hypergeometric functions. Some special cases of these integrals are also derived.",

keywords = "Beta function, Confluent hypergeometric function, Gamma Function, Gauss hypergeometric function, Hadamard product, Reimann-Liouville fractional derivative operator, Reimann-Liouville fractional integral operator, Saigo-fractional derivative operator, Saigo-fractional integral operator",

author = "S. Jain and R. Goyal and P. Agarwal and S. Momani",

year = "2023",

month = apr,

day = "11",

language = "English",

isbn = "9789815079340",

pages = "244--258",

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

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Certain saigo fractional derivatives of 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. 244-258.

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

TY - CHAP

T1 - Certain saigo fractional derivatives of extended hypergeometric functions

AU - Jain, S.

AU - Goyal, R.

AU - Agarwal, P.

AU - Momani, S.

PY - 2023/4/11

Y1 - 2023/4/11

N2 - This article aims to establish Saigo fractional derivatives of extended hypergeometric functions. Some special cases of these integrals are also derived.

AB - This article aims to establish Saigo fractional derivatives of extended hypergeometric functions. Some special cases of these integrals are also derived.

KW - Beta function

KW - Confluent hypergeometric function

KW - Gamma Function

KW - Gauss hypergeometric function

KW - Hadamard product

KW - Reimann-Liouville fractional derivative operator

KW - Reimann-Liouville fractional integral operator

KW - Saigo-fractional derivative operator

KW - Saigo-fractional integral operator

UR - https://www.scopus.com/pages/publications/85204279242

M3 - Chapter

AN - SCOPUS:85204279242

SN - 9789815079340

SP - 244

EP - 258

BT - Advances in Special Functions of Fractional Calculus

PB - Bentham Science Publishers

ER -

Certain saigo fractional derivatives of extended hypergeometric functions

Abstract

Keywords

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