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
来源：
RUSSIAN MATHEMATICS | 2020年 / 64卷 / 09期
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
  • [41] A new generalization of the Genocchi numbers and its consequence on the Bernoulli polynomials
    Farhi, Bakir
    ADVANCES IN PURE AND APPLIED MATHEMATICS, 2022, 13 (04) : 18 - 28
  • [42] k-BALANCING NUMBERS AND NEW GENERATING FUNCTIONS WITH SOME SPECIAL NUMBERS AND POLYNOMIALS
    Yakoubi, Fatma
    Boussayoud, Ali
    Aloui, Baghdadi
    Merzouk, Hind
    JOURNAL OF SCIENCE AND ARTS, 2022, (04): : 929 - 940
  • [43] ON SOME GENERALIZED GEOMETRIC SEQUENCES, STIRLING NUMBERS AND EULER POLYNOMIALS
    Gorowski, Jan
    Lomnicki, Adam
    ARS COMBINATORIA, 2018, 138 : 233 - 247
  • [44] ANALYTIC CONTINUATION OF WEIGHTED q-GENOCCHI NUMBERS AND POLYNOMIALS
    Araci, Serkan
    Acikgoz, Mehmet
    Gursul, Aynur
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2013, 28 (03): : 457 - 462
  • [45] A Note on (h, q)-Genocchi Polynomials and Numbers of Higher Order
    Jang, Lee-Chae
    Hwang, Kyung-Won
    Kim, Young-Hee
    ADVANCES IN DIFFERENCE EQUATIONS, 2010,
  • [46] On the q-Genocchi Numbers and Polynomials with Weight α and Weak Weight β
    Kang, J. Y.
    Lee, H. Y.
    Jung, N. S.
    JOURNAL OF APPLIED MATHEMATICS, 2012,
  • [47] On the new type of degenerate poly-Genocchi numbers and polynomials
    Dae Sik Lee
    Hye Kyung Kim
    Advances in Difference Equations, 2020
  • [48] Generating Sequences and Key Polynomials
    Barnabe, M. S.
    Novacoski, J.
    MICHIGAN MATHEMATICAL JOURNAL, 2023, 73 (02) : 401 - 412
  • [49] On the Sequences of Polynomials and Their Generating Functions
    Messahel, Abdelkader
    Mihoubi, Miloud
    BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2022, 40
  • [50] SOME UNUSUAL CONGRUENCES FOR BERNOULLI AND GENOCCHI NUMBERS
    CARLITZ, L
    DUKE MATHEMATICAL JOURNAL, 1968, 35 (03) : 563 - &
12345