Recursion formulas for certain quadruple hypergeometric functions

被引：4

作者：

Younis, Jihad ^{[1
]}

Verma, Ashish ^{[2
]}

Aydi, Hassen ^{[3
,4
,5
]}

Nisar, Kottakkaran Sooppy ^{[6
]}

Alsamir, Habes ^{[7
]}

机构：

[1] Aden Univ, Dept Math, Aden, Yemen

[2] VBS Purvanchal Univ, Dept Math, Jaunpur, India

[3] Univ Sousse, Inst Super Informat & Tech Commun, H Sousse 4000, Tunisia

[4] Sefako Makgatho Hlth Sci Univ, Dept Math & Appl Math, Ga Rankuwa, South Africa

[5] China Med Univ, China Med Univ Hosp, Taichung 40402, Taiwan

[6] Prince Sattam Bin Abdulaziz Univ, Dept Math, Coll Arts & Sci, Wadi Aldawaser, Saudi Arabia

[7] Dar Al Uloom Univ, Finance Dept, Coll Business Adm, Riyadh, Saudi Arabia

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2021年 / 2021卷 / 01期

关键词：

Recursion formula; Quadruple hypergeometric functions; GENERATING-FUNCTIONS; SERIES;

D O I：

10.1186/s13662-021-03561-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：14

共 50 条

[1] Recursion formulas for certain quadruple hypergeometric functions
Jihad Younis
Ashish Verma
Hassen Aydi
Kottakkaran Sooppy Nisar
Habes Alsamir
Advances in Difference Equations, 2021
[2] Recursion formulas for multivariable hypergeometric functions
Sahai, Vivek
Verma, Ashish
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2015, 8 (04)
[3] RECURSION FORMULAS FOR SRIVASTAVA HYPERGEOMETRIC FUNCTIONS
Sahin, Recep
MATHEMATICA SLOVACA, 2015, 65 (06) : 1345 - 1360
[4] Some Formulas for New Quadruple Hypergeometric Functions
Younis, Jihad A.
Aydi, Hassen
Verma, Ashish
JOURNAL OF MATHEMATICS, 2021, 2021
[5] SOME RECURSION FORMULAS ASSOCIATED WITH MULTIPLE HYPERGEOMETRIC FUNCTIONS
PANDA, R
SRIVASTAVA, HM
BULLETIN DE L ACADEMIE POLONAISE DES SCIENCES-SERIE DES SCIENCES MATHEMATIQUES ASTRONOMIQUES ET PHYSIQUES, 1975, 23 (03): : 243 - 250
[6] Recursion Formulas for Exton's triple Hypergeometric Functions
Sahai, Vivek
Verma, Ashish
KYUNGPOOK MATHEMATICAL JOURNAL, 2016, 56 (02): : 473 - 506
[7] Certain image formulas of generalized hypergeometric functions
Agarwal, Praveen
Chand, Mehar
Karimov, Erkinjon Tulkinovich
APPLIED MATHEMATICS AND COMPUTATION, 2015, 266 : 763 - 772
[8] Self-recursion formulas of certain monstrous functions
Kim, CH
Koo, JK
JOURNAL OF PURE AND APPLIED ALGEBRA, 2002, 171 (01) : 27 - 40
[9] Recursion formulas for the Srivastava-Daoust and related multivariable hypergeometric functions
Sahai, Vivek
Verma, Ashish
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2016, 9 (04)
[10] SOME RECURSION FORMULAS ASSOCIATED WITH MULTIPLE HYPERGEOMETRIC FUNCTIONS - PRELIMINARY REPORT
SRIVASTA.HM
PANDA, R
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 20 (04): : A427 - A427

← 1 2 3 4 5 →