On Some Sequences of Polynomials Generating the Genocchi Numbers

被引:0
|
作者
Svinin, A. K. [1 ]
机构
[1] Russian Acad Sci, Siberian Branch, Matrosov Inst Syst Dynam & Control Theory, 134 Lermontova Str, Irkutsk 664033, Russia
关键词
Genocchi number; Gandhi polynomial;
D O I
10.3103/S1066369X20090078
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We consider sequences of Genocchi numbers of the first and the second kind. For these numbers, an approach based on their representation using sequences of polynomials is developed. Based on this approach, for these numbers some identities generalizing the known identities are constructed.
引用
收藏
页码:76 / 84
页数:9
相关论文
共 50 条
  • [1] On Some Sequences of Polynomials Generating the Genocchi Numbers
    A. K. Svinin
    Russian Mathematics, 2020, 64 : 76 - 84
  • [2] SOME IDENTITIES INVOLVING GENOCCHI POLYNOMIALS AND NUMBERS
    Kim, Dae San
    Kim, Taekyun
    ARS COMBINATORIA, 2015, 121 : 403 - 412
  • [3] On Some Arithmetical Properties of the Genocchi Numbers and Polynomials
    Park, Kyoung Ho
    Kim, Young-Hee
    ADVANCES IN DIFFERENCE EQUATIONS, 2008, 2008 (1)
  • [4] On Some Arithmetical Properties of the Genocchi Numbers and Polynomials
    Kyoung Ho Park
    Young-Hee Kim
    Advances in Difference Equations, 2008
  • [5] Unification of Generating Function of the Bernoulli, Euler and Genocchi Numbers and Polynomials
    Ozden, Hacer
    NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS I-III, 2010, 1281 : 1125 - 1128
  • [6] On Genocchi Numbers and Polynomials
    Rim, Seog-Hoon
    Park, Kyoung Ho
    Moon, Eun Jung
    ABSTRACT AND APPLIED ANALYSIS, 2008,
  • [7] THE LOG-CONVEXITY OF GENOCCHI NUMBERS AND THE MONOTONICITY OF SOME SEQUENCES RELATED TO GENOCCHI NUMBERS
    Zhao, Feng-Zhen
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2016, 10 (02): : 541 - 550
  • [8] Some Identities on the Poly-Genocchi Polynomials and Numbers
    Dolgy, Dmitry, V
    Jang, Lee-Chae
    SYMMETRY-BASEL, 2020, 12 (06):
  • [9] Classical continued fractions for some multivariate polynomials generalizing the Genocchi and median Genocchi numbers
    Deb, Bishal
    Sokal, Alan D.
    ADVANCES IN APPLIED MATHEMATICS, 2024, 161
  • [10] Some explicit identities on Changhee-Genocchi polynomials and numbers
    Kim, Byung-Moon
    Jeong, Joohee
    Rim, Seog-Hoon
    ADVANCES IN DIFFERENCE EQUATIONS, 2016,