Certain fractional integral and Beta transform formulas for the extended Appell's and Lauricella's hypergeometric functions

Praveen Agarwal; Shilpi Jain; Yongsup Kim

Certain fractional integral and Beta transform formulas for the extended Appell's and Lauricella's hypergeometric functions

Praveen Agarwal
, Shilpi Jain
, Yongsup Kim

International College of Engineering
Poornima College of Engineering
Wonkwang University

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

Abstract

Authors established some (presumably) new fractional integral and Beta transform formulas for the generalized extended Appell's and Lauricella's hypergeometric functions which have recently been introduced by Kim.

Original language	English
Pages (from-to)	715-721
Number of pages	7
Journal	Nonlinear Functional Analysis and Applications
Volume	23
Issue number	4
State	Published - 2018
Externally published	Yes

Keywords

Fractional integral operators
Gamma function
Generalized hypergeometric function
Kampé de Fériet function
Pochhammer symbol

Cite this

@article{bbc7e8739d6b4b1f89d8cfd728984611,

title = "Certain fractional integral and Beta transform formulas for the extended Appell's and Lauricella's hypergeometric functions",

abstract = "Authors established some (presumably) new fractional integral and Beta transform formulas for the generalized extended Appell's and Lauricella's hypergeometric functions which have recently been introduced by Kim.",

keywords = "Fractional integral operators, Gamma function, Generalized hypergeometric function, Kamp{\'e} de F{\'e}riet function, Pochhammer symbol",

author = "Praveen Agarwal and Shilpi Jain and Yongsup Kim",

note = "Publisher Copyright: {\textcopyright} 2018 Kyungnam University Press.",

year = "2018",

language = "English",

volume = "23",

pages = "715--721",

journal = "Nonlinear Functional Analysis and Applications",

issn = "1229-1595",

publisher = "Kyungnam University Press",

number = "4",

}

TY - JOUR

T1 - Certain fractional integral and Beta transform formulas for the extended Appell's and Lauricella's hypergeometric functions

AU - Agarwal, Praveen

AU - Jain, Shilpi

AU - Kim, Yongsup

PY - 2018

Y1 - 2018

N2 - Authors established some (presumably) new fractional integral and Beta transform formulas for the generalized extended Appell's and Lauricella's hypergeometric functions which have recently been introduced by Kim.

AB - Authors established some (presumably) new fractional integral and Beta transform formulas for the generalized extended Appell's and Lauricella's hypergeometric functions which have recently been introduced by Kim.

KW - Fractional integral operators

KW - Gamma function

KW - Generalized hypergeometric function

KW - Kampé de Fériet function

KW - Pochhammer symbol

UR - https://www.scopus.com/pages/publications/85063209674

M3 - Article

AN - SCOPUS:85063209674

SN - 1229-1595

VL - 23

SP - 715

EP - 721

JO - Nonlinear Functional Analysis and Applications

JF - Nonlinear Functional Analysis and Applications

IS - 4

ER -

Certain fractional integral and Beta transform formulas for the extended Appell's and Lauricella's hypergeometric functions

Abstract

Keywords

Other files and links

Fingerprint

Cite this