Some Formulas for Horn's Hypergeometric Function GB of Three Variables

被引：0
|
作者：
Shehata, Ayman [1 ,2 ]
Moustafa, Shimaa I. [1 ]
Younis, Jihad [3 ]
Aydi, Hassen [4 ,5 ,6 ]
机构：
[1] Assiut Univ, Fac Sci, Dept Math, Assiut 71516, Egypt
[2] Qassim Univ, Coll Sci & Arts, Dept Math, Unaizah 56264, Qassim, Saudi Arabia
[3] Univ Aden, Dept Math, Aden, Yemen
[4] Univ Sousse, Inst Super Informat & Tech Commun, H Sousse 4000, Tunisia
[5] China Med Univ, China Med Univ Hosp, Taichung 40402, Taiwan
[6] Sefako Makgatho Hlth Sci Univ, Dept Math & Appl Math, Ga Rankuwa, South Africa
来源：
ADVANCES IN MATHEMATICAL PHYSICS | 2022年 / 2022卷
关键词：
CONTIGUOUS RELATIONS; RECURSION FORMULAS;
D O I：
10.1155/2022/6565627
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Agarwal et al. (2021) established the extension of several fundamental contiguous relations for GB. Our aim in this work is to investigate several properties of differentiation formulas, differential equations, recursion relations, differential recursion relations, confluence formulas, series representations, integration formulas, and infinite summations for Horn's hypergeometric function GB of three variables. Some well-known particular cases have additionally been given.
引用
收藏
页数：11
相关论文
共 50 条
  • [1] Horn's hypergeometric functions with three variables
    Bezrodnykh, S. I.
    INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2021, 32 (03) : 207 - 223
  • [2] Some Formulas Involving Hypergeometric Functions in Four Variables
    Aydi, Hassen
    Verma, Ashish
    Younis, Jihad
    Lee, Jung Rye
    CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2022, 130 (02): : 887 - 902
  • [3] On Decomposition Formulas Related to the Gaussian Hypergeometric Functions in Three Variables
    Hasanov, Anvar
    Younis, Jihad
    Aydi, Hassen
    JOURNAL OF FUNCTION SPACES, 2021, 2021
  • [4] Analytic Continuation Formulas for the Hypergeometric Functions in Three Variables of Second Order
    A. Hasanov
    T. K. Yuldashev
    Lobachevskii Journal of Mathematics, 2022, 43 : 386 - 393
  • [5] Analytic Continuation Formulas for the Hypergeometric Functions in Three Variables of Second Order
    Hasanov, A.
    Yuldashev, T. K.
    LOBACHEVSKII JOURNAL OF MATHEMATICS, 2022, 43 (02) : 386 - 393
  • [6] SOME TRANSFORMATION AND REDUCTION FORMULAS FOR HYPERGEOMETRIC-SERIES IN SEVERAL VARIABLES
    GROSJEAN, CC
    SRIVASTAVA, HM
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1991, 37 (1-3) : 287 - 299
  • [7] Some Transformation Formulas for Lauricella's Hypergeometric Functions FD
    Matsumoto, Keiji
    Ohara, Katsuyoshi
    FUNKCIALAJ EKVACIOJ-SERIO INTERNACIA, 2009, 52 (02): : 203 - 212
  • [8] Recursion formulas for Srivastava's general triple hypergeometric function
    Sahai, Vivek
    Verma, Ashish
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2016, 9 (03)
  • [9] SOME REDUCTION FORMULAS FOR HYPERGEOMETRIC FUNCTIONS
    KARLSSON, PW
    MATHEMATICA SCANDINAVICA, 1972, 31 (01) : 248 - 256
  • [10] SOME HYPERGEOMETRIC TRANSFORMATIONS AND REDUCTION FORMULAS FOR THE GAUSS FUNCTION AND THEIR APPLICATIONS INVOLVING THE CLAUSEN FUNCTION
    Srivastava, H. M.
    Qureshi, M., I
    Malik, S. H.
    JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS, 2021, 5 (06): : 981 - 987
12345