On Multi Poly-Genocchi Polynomials with Parameters a, b and c

被引：3
|
作者：
Corcino, Roberto B. [1 ]
Laurente, Mark P. [2 ]
Vega, Mary Ann Ritzell P. [3 ]
机构：
[1] Cebu Normal Univ, Res Inst Computat Math & Phys, Cebu 6000, Philippines
[2] Mindanao State Univ, Dept Math, Marawi City, Philippines
[3] Mindanao State Univ, Iligan Inst Technol, Coll Sci & Math, Dept Math & Stat, Iligan 9200, Philippines
来源：
EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS | 2020年 / 13卷 / 03期
关键词：
Bernoulli numbers; Euler numbers; Genocchi numbers; poly-Bernoulli numbers; poly-Euler numbers poly-Genocchi numbers; APOSTOL-BERNOULLI; IDENTITIES; EULER;
D O I：
10.29020/nybg.ejpam.v13i3.3676
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Most identities of Genocchi numbers and polynomials are related to the well-known Benoulli and Euler polynomials. In this paper, multi poly-Genocchi polynomials with parameters a, b and c are defined by means of polylogarithm in multiple paramaters. Several properties of these polynomials are established including some recurrence relations and explicit formulas.
引用
收藏
页码：444 / 458
页数：15
相关论文
共 50 条
  • [1] HIGHER ORDER APOSTOL-FROBENIUS-TYPE POLY-GENOCCHI POLYNOMIALS WITH PARAMETERS a, b AND c
    Corcino, Roberto B.
    Corcino, Cristina B.
    JOURNAL OF INEQUALITIES AND SPECIAL FUNCTIONS, 2021, 12 (03): : 54 - 72
  • [2] A note on degenerate Genocchi and poly-Genocchi numbers and polynomials
    Kim, Taekyun
    Kim, Dae San
    Kwon, Jongkyum
    Kim, Han Young
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2020, 2020 (01)
  • [3] Poly-Genocchi polynomials and its applications
    Phang, Chang
    Isah, Abdulnasir
    Toh, Yoke Teng
    AIMS MATHEMATICS, 2021, 6 (08): : 8221 - 8238
  • [4] A note on degenerate Genocchi and poly-Genocchi numbers and polynomials
    Taekyun Kim
    Dae San Kim
    Jongkyum Kwon
    Han Young Kim
    Journal of Inequalities and Applications, 2020
  • [5] A note on degenerate poly-Genocchi polynomials
    Sharma, Sunil Kumar
    INTERNATIONAL JOURNAL OF ADVANCED AND APPLIED SCIENCES, 2020, 7 (05): : 1 - 5
  • [6] Generalized Laguerre-Apostol-Frobenius-Type Poly-Genocchi Polynomials of Higher Order with Parameters a, b and c
    Corcino, Roberto B.
    B. Corecina, Cristina
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2022, 15 (04): : 1549 - 1565
  • [7] A note on degenerate poly-Genocchi numbers and polynomials
    Hye Kyung Kim
    Lee-Chae Jang
    Advances in Difference Equations, 2020
  • [8] Recurrence Relations On The Generelizad Poly-Genocchi Polynomials
    Kurt, Burak
    Bilgic, Secil
    PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2016 (ICNAAM-2016), 2017, 1863
  • [9] A Study of Generalized Laguerre Poly-Genocchi Polynomials
    Khan, Nabiullah
    Usman, Talha
    Nisar, Kottakkaran Sooppy
    MATHEMATICS, 2019, 7 (03):
  • [10] Some Identities on the Poly-Genocchi Polynomials and Numbers
    Dolgy, Dmitry, V
    Jang, Lee-Chae
    SYMMETRY-BASEL, 2020, 12 (06):
12345