Expansion Formulae Involving the Product of q-Analogue of Hypergeometric Function and Fox’s H-Function

P. Agarwal; R. Goyal; S. Jain; R. P. Agarwal; S. Momani; M. Abdel-Aty

doi:10.18576/pfda/09S104

Expansion Formulae Involving the Product of q-Analogue of Hypergeometric Function and Fox’s H-Function

P. Agarwal
, R. Goyal
, S. Jain
, R. P. Agarwal
, S. Momani
, M. Abdel-Aty

Nonlinear Dynamic Research Centre (NDRC)

International College of Engineering
Poornima College of Engineering
Texas A&M University-Kingsville
Ahlia University

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

Abstract

The main objective of present article is to drive expansion formulas for the product of basic analogue of hypergeometric function and Fox’s H-function by the application of the q-Leibniz rule for Weyl type and Reimann-Liouville type fractional q-derivatives. Some special cases involving product of q-analogue of hypergeometric function, G-function and MacRobert’s E-function have been discussed.

Original language	English
Pages (from-to)	33-40
Number of pages	8
Journal	Progress in Fractional Differentiation and Applications
Volume	9
DOIs	https://doi.org/10.18576/pfda/09S104
State	Published - 2023

Keywords

Fox’s H-function
MacRobert’s E-function
Meijer’s G-function
Reimann-Liouville type fractional q-derivative
Weyl type fractional q-derivative
q-Leibniz rule
q-analogue of hypergeometric function

Access to Document

10.18576/pfda/09S104

Cite this

@article{1da6437f766f457ba9f6c19fc145f4c0,

title = "Expansion Formulae Involving the Product of q-Analogue of Hypergeometric Function and Fox{\textquoteright}s H-Function",

abstract = "The main objective of present article is to drive expansion formulas for the product of basic analogue of hypergeometric function and Fox{\textquoteright}s H-function by the application of the q-Leibniz rule for Weyl type and Reimann-Liouville type fractional q-derivatives. Some special cases involving product of q-analogue of hypergeometric function, G-function and MacRobert{\textquoteright}s E-function have been discussed.",

keywords = "Fox{\textquoteright}s H-function, MacRobert{\textquoteright}s E-function, Meijer{\textquoteright}s G-function, Reimann-Liouville type fractional q-derivative, Weyl type fractional q-derivative, q-Leibniz rule, q-analogue of hypergeometric function",

author = "P. Agarwal and R. Goyal and S. Jain and Agarwal, \{R. P.\} and S. Momani and M. Abdel-Aty",

note = "Publisher Copyright: {\textcopyright} 2023 NSP",

year = "2023",

doi = "10.18576/pfda/09S104",

language = "English",

volume = "9",

pages = "33--40",

journal = "Progress in Fractional Differentiation and Applications",

issn = "2356-9336",

publisher = "Natural Sciences Publishing",

}

TY - JOUR

T1 - Expansion Formulae Involving the Product of q-Analogue of Hypergeometric Function and Fox’s H-Function

AU - Agarwal, P.

AU - Goyal, R.

AU - Jain, S.

AU - Agarwal, R. P.

AU - Momani, S.

AU - Abdel-Aty, M.

PY - 2023

Y1 - 2023

N2 - The main objective of present article is to drive expansion formulas for the product of basic analogue of hypergeometric function and Fox’s H-function by the application of the q-Leibniz rule for Weyl type and Reimann-Liouville type fractional q-derivatives. Some special cases involving product of q-analogue of hypergeometric function, G-function and MacRobert’s E-function have been discussed.

AB - The main objective of present article is to drive expansion formulas for the product of basic analogue of hypergeometric function and Fox’s H-function by the application of the q-Leibniz rule for Weyl type and Reimann-Liouville type fractional q-derivatives. Some special cases involving product of q-analogue of hypergeometric function, G-function and MacRobert’s E-function have been discussed.

KW - Fox’s H-function

KW - MacRobert’s E-function

KW - Meijer’s G-function

KW - Reimann-Liouville type fractional q-derivative

KW - Weyl type fractional q-derivative

KW - q-Leibniz rule

KW - q-analogue of hypergeometric function

UR - https://www.scopus.com/pages/publications/85173665749

U2 - 10.18576/pfda/09S104

DO - 10.18576/pfda/09S104

M3 - Article

AN - SCOPUS:85173665749

SN - 2356-9336

VL - 9

SP - 33

EP - 40

JO - Progress in Fractional Differentiation and Applications

JF - Progress in Fractional Differentiation and Applications

ER -

Expansion Formulae Involving the Product of q-Analogue of Hypergeometric Function and Fox’s H-Function

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this