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
  • [21] Degenerate polyexponential functions and type 2 degenerate poly-Bernoulli numbers and polynomials
    Kim, Taekyun
    Kim, Dae San
    Kwon, Jongkyum
    Lee, Hyunseok
    ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
  • [22] Degenerate polyexponential functions and type 2 degenerate poly-Bernoulli numbers and polynomials
    Taekyun Kim
    Dae San Kim
    Jongkyum Kwon
    Hyunseok Lee
    Advances in Difference Equations, 2020
  • [23] A Note on Parametric Kinds of the Degenerate Poly-Bernoulli and Poly-Genocchi Polynomials
    Kim, Taekyun
    Khan, Waseem A.
    Sharma, Sunil Kumar
    Ghayasuddin, Mohd
    SYMMETRY-BASEL, 2020, 12 (04):
  • [24] A note on poly-Bernoulli and higher-order poly-Bernoulli polynomials
    D. Kim
    T. Kim
    Russian Journal of Mathematical Physics, 2015, 22 : 26 - 33
  • [25] ON MULTI POLY-BERNOULLI POLYNOMIALS
    Corcino, Cristina B.
    Corcino, Roberto B.
    Komatsu, Takao
    Jolany, Hassan
    JOURNAL OF INEQUALITIES AND SPECIAL FUNCTIONS, 2019, 10 (02): : 21 - 34
  • [26] Degenerate Hermite poly-Bernoulli numbers and polynomials with q-parameter
    Khan, Waseem A.
    Khan, Idrees A.
    Ali, Musharraf
    STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2020, 65 (01): : 3 - 15
  • [27] A note on poly-Bernoulli and higher-order poly-Bernoulli polynomials
    Kim, D.
    Kim, T.
    RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS, 2015, 22 (01) : 26 - 33
  • [28] POLYLOGARITHMS AND POLY-BERNOULLI POLYNOMIALS
    Bayad, Abdelmejid
    Hamahata, Yoshinori
    KYUSHU JOURNAL OF MATHEMATICS, 2011, 65 (01) : 15 - 24
  • [29] Analytical properties of type 2 degenerate poly-Bernoulli polynomials associated with their applications
    Waseem A. Khan
    Ghulam Muhiuddin
    Abdulghani Muhyi
    Deena Al-Kadi
    Advances in Difference Equations, 2021
  • [30] Analytical properties of type 2 degenerate poly-Bernoulli polynomials associated with their applications
    Khan, Waseem A.
    Muhiuddin, Ghulam
    Muhyi, Abdulghani
    Al-Kadi, Deena
    ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
12345