Poly-Cauchy numbers with a q parameter

被引:0
|
作者
Takao Komatsu
机构
[1] Hirosaki University,Graduate School of Science and Technology
来源
The Ramanujan Journal | 2013年 / 31卷
关键词
Poly-Cauchy numbers; Cauchy numbers; Poly-Bernoulli numbers; 05A15; 11B75;
D O I
暂无
中图分类号
学科分类号
摘要
The concept of poly-Cauchy numbers was recently introduced by the author. The poly-Cauchy number is a generalization of the Cauchy number just as the poly-Bernoulli number is a generalization of the classical Bernoulli number. In this paper we give some more generalizations of poly-Cauchy numbers and show some arithmetical properties.
引用
收藏
页码:353 / 371
页数:18
相关论文
共 50 条
  • [1] Poly-Cauchy numbers with a q parameter
    Komatsu, Takao
    RAMANUJAN JOURNAL, 2013, 31 (03): : 353 - 371
  • [2] Degenerate poly-Cauchy polynomials with a q parameter
    Kim, Dae San
    Kim, Taekyun
    Dolgy, Dmitry V.
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015, : 1 - 15
  • [3] Degenerate poly-Cauchy polynomials with a q parameter
    Dae San Kim
    Taekyun Kim
    Dmitry V Dolgy
    Journal of Inequalities and Applications, 2015
  • [4] POLY-CAUCHY NUMBERS
    Komatsu, Takao
    KYUSHU JOURNAL OF MATHEMATICS, 2013, 67 (01) : 143 - 153
  • [5] Shifted poly-Cauchy numbers
    Takao Komatsu
    László Szalay
    Lithuanian Mathematical Journal, 2014, 54 : 166 - 181
  • [6] Incomplete poly-Cauchy numbers
    Komatsu, Takao
    MONATSHEFTE FUR MATHEMATIK, 2016, 180 (02): : 271 - 288
  • [7] Shifted poly-Cauchy numbers
    Komatsu, Takao
    Szalay, Laszlo
    LITHUANIAN MATHEMATICAL JOURNAL, 2014, 54 (02) : 166 - 181
  • [8] Incomplete poly-Cauchy numbers
    Takao Komatsu
    Monatshefte für Mathematik, 2016, 180 : 271 - 288
  • [9] An umbral calculus approach to poly-Cauchy polynomials with a q parameter
    Kim, Dae San
    Kim, Taekyun
    Komatsu, Takao
    Seo, Jong-Jin
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2015, 18 (05) : 762 - 792
  • [10] A Generalization of Poly-Cauchy Numbers and Their Properties
    Komatsu, Takao
    Laohakosol, Vichian
    Liptai, Kalman
    ABSTRACT AND APPLIED ANALYSIS, 2013,