Degenerate poly-Bernoulli polynomials with umbral calculus viewpoint

被引：0
|
作者：
Dae San Kim
Taekyun Kim
Hyuck In Kwon
Toufik Mansour
机构：
[1] Sogang University,Department of Mathematics
[2] Kwangwoon University,Department of Mathematics
[3] University of Haifa,Department of Mathematics
来源：
Journal of Inequalities and Applications | / 2015卷
关键词：
degenerate poly-Bernoulli polynomials; umbral calculus; 05A19; 05A40; 11B83;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we consider the degenerate poly-Bernoulli polynomials. We present several explicit formulas and recurrence relations for these polynomials. Also, we establish a connection between our polynomials and several known families of polynomials.
引用
收藏
相关论文
共 50 条
  • [41] Explicit formulae for sums of products of Bernoulli polynomials, including poly-Bernoulli polynomials
    Ken Kamano
    Takao Komatsu
    The Ramanujan Journal, 2014, 33 : 301 - 313
  • [42] A RESEARCH ON THE GENERALIZED POLY-BERNOULLI POLYNOMIALS WITH VARIABLE a
    Jung, N. S.
    Ryoo, C. S.
    JOURNAL OF APPLIED MATHEMATICS & INFORMATICS, 2018, 36 (5-6): : 475 - 489
  • [43] Explicit formulae for sums of products of Bernoulli polynomials, including poly-Bernoulli polynomials
    Kamano, Ken
    Komatsu, Takao
    RAMANUJAN JOURNAL, 2014, 33 (02): : 301 - 313
  • [44] Probabilistic Type 2 Poly-Bernoulli Polynomials
    Lee, Si Hyeon
    Chen, Li
    Kim, Wonjoo
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2024, 17 (03): : 2336 - 2348
  • [45] Poly-Bernoulli numbers and polynomials with a q parameter
    Cenkci, Mehmet
    Komatsu, Takao
    JOURNAL OF NUMBER THEORY, 2015, 152 : 38 - 54
  • [46] On Degenerate Poly-Daehee Polynomials Arising from Lambda-Umbral Calculus
    Yun, Sang Jo
    Park, Jin-Woo
    JOURNAL OF MATHEMATICS, 2023, 2023
  • [47] q-Bernoulli polynomials and q-umbral calculus
    Dae San Kim
    Tae Kyun Kim
    Science China Mathematics, 2014, 57 : 1867 - 1874
  • [48] q-Bernoulli polynomials and q-umbral calculus
    KIM Dae San
    KIM Tae Kyun
    Science China Mathematics, 2014, 57 (09) : 1867 - 1874
  • [49] On Gould-Hopper-Based Fully Degenerate Poly-Bernoulli Polynomials with a q-Parameter
    Duran, Ugur
    Sadjang, Patrick Njionou
    MATHEMATICS, 2019, 7 (02)
  • [50] q-Bernoulli polynomials and q-umbral calculus
    Kim, Dae San
    Kim, Tae Kyun
    SCIENCE CHINA-MATHEMATICS, 2014, 57 (09) : 1867 - 1874
12345