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
  • [1] Gould–Hopper based Frobenius–Genocchi polynomials and their generalized form
    Shahid Ahmad Wani
    Subuhi Khan
    Tabinda Nahid
    Afrika Matematika, 2020, 31 : 1397 - 1408
  • [2] On the generalized Apostol-type Frobenius-Genocchi polynomials
    Khan, Waseem A.
    Srivastava, Divesh
    FILOMAT, 2019, 33 (07) : 1967 - 1977
  • [3] Summation formulae for Gould-Hopper generalized Hermite polynomials
    Khan, Subuhi
    Al-Saad, Mustafa Walid
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (06) : 1536 - 1541
  • [4] On generalized degenerate Gould-Hopper based fully degenerate Bell polynomials
    Duran, Ugur
    Acikgoz, Mehmet
    JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2020, 21 (03): : 243 - 257
  • [5] Properties of Multivariable Hermite Polynomials in Correlation with Frobenius-Genocchi Polynomials
    Wani, Shahid Ahmad
    Oros, Georgia Irina
    Mahnashi, Ali M.
    Hamali, Waleed
    MATHEMATICS, 2023, 11 (21)
  • [6] Some families of differential equations associated with the Gould-Hopper-Frobenius-Genocchi polynomials
    Alyusof, Rabab
    Jeelani, Mdi Begum
    AIMS MATHEMATICS, 2022, 7 (11): : 20381 - 20382
  • [7] Some families of differential equations associated with the Gould-Hopper-Frobenius-Genocchi polynomials
    Alyusof, Rabab
    Jeelani, Mdi Begum
    AIMS MATHEMATICS, 2022, 7 (03): : 4851 - 4860
  • [8] On unified Gould-Hopper based Apostol-type polynomials
    Khan, Waseem Ahmad
    Nisar, Kottakkaran Sooppy
    Acikgoz, Mehmet
    Duran, Ugur
    Abusufian, Abdallah Hassan
    JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2022, 24 (04): : 287 - 298
  • [9] MULTIVARIABLE MATRIX GENERALIZATION OF GOULD-HOPPER POLYNOMIALS
    Cekim, Bayram
    Aktas, Rabia
    MISKOLC MATHEMATICAL NOTES, 2015, 16 (01) : 79 - 89
  • [10] On amalgamation of truncated exponential and Gould-Hopper polynomials
    Yasmin, Ghazala
    Islahi, Hibah
    TBILISI MATHEMATICAL JOURNAL, 2021, 14 (01) : 55 - 70