Recursion formulas for certain quadruple hypergeometric functions

Jihad Younis; Ashish Verma; Hassen Aydi; Kottakkaran Sooppy Nisar; Habes Alsamir

doi:10.1186/s13662-021-03561-z

Recursion formulas for certain quadruple hypergeometric functions

Jihad Younis, Ashish Verma, Hassen Aydi, Kottakkaran Sooppy Nisar, Habes Alsamir^*

^*Corresponding author for this work

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

5 Citations (Scopus)

Abstract

A remarkably large number of hypergeometric (and generalized) functions and a variety of their extensions have been presented and investigated in the literature by many authors. In this paper, we introduce five new hypergeometric functions in four variables and then establish several recursion formulas for these new functions. Some interesting particular cases and consequences of the main results are also considered.

Original language	English
Article number	407
Journal	Advances in Difference Equations
Volume	2021
Issue number	1
DOIs	https://doi.org/10.1186/s13662-021-03561-z
Publication status	Published - Dec 2021
Externally published	Yes

Keywords

Quadruple hypergeometric functions
Recursion formula

Access to Document

10.1186/s13662-021-03561-z

Cite this

@article{cbb0ef9ac7654b6382a69a1359f7d4e4,

title = "Recursion formulas for certain quadruple hypergeometric functions",

abstract = "A remarkably large number of hypergeometric (and generalized) functions and a variety of their extensions have been presented and investigated in the literature by many authors. In this paper, we introduce five new hypergeometric functions in four variables and then establish several recursion formulas for these new functions. Some interesting particular cases and consequences of the main results are also considered.",

keywords = "Quadruple hypergeometric functions, Recursion formula",

author = "Jihad Younis and Ashish Verma and Hassen Aydi and Nisar, {Kottakkaran Sooppy} and Habes Alsamir",

note = "Publisher Copyright: {\textcopyright} 2021, The Author(s).",

year = "2021",

month = dec,

doi = "10.1186/s13662-021-03561-z",

language = "English",

volume = "2021",

journal = "Advances in Difference Equations",

issn = "1687-1839",

publisher = "Springer Publishing Company",

number = "1",

}

TY - JOUR

T1 - Recursion formulas for certain quadruple hypergeometric functions

AU - Younis, Jihad

AU - Verma, Ashish

AU - Aydi, Hassen

AU - Nisar, Kottakkaran Sooppy

AU - Alsamir, Habes

PY - 2021/12

Y1 - 2021/12

N2 - A remarkably large number of hypergeometric (and generalized) functions and a variety of their extensions have been presented and investigated in the literature by many authors. In this paper, we introduce five new hypergeometric functions in four variables and then establish several recursion formulas for these new functions. Some interesting particular cases and consequences of the main results are also considered.

AB - A remarkably large number of hypergeometric (and generalized) functions and a variety of their extensions have been presented and investigated in the literature by many authors. In this paper, we introduce five new hypergeometric functions in four variables and then establish several recursion formulas for these new functions. Some interesting particular cases and consequences of the main results are also considered.

KW - Quadruple hypergeometric functions

KW - Recursion formula

UR - http://www.scopus.com/inward/record.url?scp=85114332078&partnerID=8YFLogxK

U2 - 10.1186/s13662-021-03561-z

DO - 10.1186/s13662-021-03561-z

M3 - Article

AN - SCOPUS:85114332078

SN - 1687-1839

VL - 2021

JO - Advances in Difference Equations

JF - Advances in Difference Equations

IS - 1

M1 - 407

ER -

Recursion formulas for certain quadruple hypergeometric functions

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this