Gould-Hopper based Frobenius-Genocchi polynomials and their generalized form

被引:8
|
作者
Wani, Shahid Ahmad [1 ]
Khan, Subuhi [1 ]
Nahid, Tabinda [1 ]
机构
[1] Aligarh Muslim Univ, Dept Math, Aligarh, Uttar Pradesh, India
关键词
Gould-Hopper polynomials; Frobenius-Genocchi polynomials; Monomiality principle; Summation formulae;
D O I
10.1007/s13370-020-00804-2
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This article deals with the introduction of Gould-Hopper based Frobenius-Genocchi polynomials and derivation of their properties. The summation formulae and operational rule for these polynomials are derived. In addition, the integral transforms and operational rules are used to obtain generalized form of Gould-Hopper based Frobenius-Genocchi polynomials.
引用
收藏
页码:1397 / 1408
页数:12
相关论文
共 47 条
  • [41] Some unified formulas involving generalized-Apostol-type-Gould-Hopper polynomials and multiple power sums
    Araci, Serkan
    Riyasat, Mumtaz
    Khan, Subuhi
    Wani, Shahid Ahmad
    JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2019, 19 (02): : 97 - 115
  • [42] Some Generalized Properties of Poly-Daehee Numbers and Polynomials Based on Apostol-Genocchi Polynomials
    Usman, Talha
    Khan, Nabiullah
    Aman, Mohd
    Al-Omari, Shrideh
    Nonlaopon, Kamsing
    Choi, Junesang
    MATHEMATICS, 2022, 10 (14)
  • [43] SOME SRIVASTAVA-BRAFMAN TYPE GENERATING RELATIONS FOR A GENERAL CLASS OF MULTI-INDEX AND MULTI-VARIABLE GOULD-HOPPER AND DATTOLI TYPE HYPERGEOMETRIC POLYNOMIALS
    Qureshi, M. I.
    Quraishi, Kaleem A.
    Pal, Ram
    JOURNAL OF APPLIED MATHEMATICS STATISTICS AND INFORMATICS, 2014, 10 (01) : 31 - 44
  • [44] On Gould-Hopper-Based Fully Degenerate Poly-Bernoulli Polynomials with a q-Parameter
    Duran, Ugur
    Sadjang, Patrick Njionou
    MATHEMATICS, 2019, 7 (02)
  • [45] Higher Order Bivariate Bell-Based Apostol-Frobenius-Type Poly-Genocchi Polynomials with Parameters a and b
    Corcino, Roberto B.
    Corcino, Cristina B.
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2024, 17 (03): : 1471 - 1489
  • [46] Some generalized Lagrange-based Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials
    H. M. Srivastava
    M. A. Özarslan
    C. Kaanoğlu
    Russian Journal of Mathematical Physics, 2013, 20 : 110 - 120
  • [47] Some generalized Lagrange-based Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials
    Srivastava, H. M.
    Ozarslan, M. A.
    Kaanoglu, C.
    RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS, 2013, 20 (01) : 110 - 120