Some identities of degenerate Daehee numbers arising from certain differential equations

被引:9
作者
Kim, Taekyun [1 ,2 ]
Kim, Dae San [3 ]
机构
[1] Tianjin Polytech Univ, Coll Sci, Dept Math, Tianjin 300160, Peoples R China
[2] Kwangwoon Univ, Dept Math, Seoul 139701, South Korea
[3] Sogang Univ, Dept Math, Seoul 121742, South Korea
来源
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2017年 / 10卷 / 02期
关键词
Degenerate Daehee numbers; differential equation; generalized harmonic numbers; POLYNOMIALS; KIND;
D O I
10.22436/jnsa.010.02.35
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we introduce the degenerate Daehee numbers and study a family of differential equations associated with the generating function of these numbers. From those differential equations, we will be able to obtain some new and interesting combinatorial identities involving the degenerate Daehee numbers and generalized harmonic numbers. (C) 2017 All rights reserved.
引用
收藏
页码:744 / 751
页数:8
相关论文
共 24 条
  • [1] [Anonymous], ADV DIFFERENCE EQU
  • [2] [Anonymous], ADV DIFFERENCE EQU
  • [3] Identities for Apostol-type Frobenius-Euler polynomials resulting from the study of a nonlinear operator
    Bayad, A.
    Kim, T.
    [J]. RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS, 2016, 23 (02) : 164 - 171
  • [4] Carlitz L., 1956, Arch. Math., V7, P28, DOI [10.1007/BF01900520, DOI 10.1007/BF01900520]
  • [5] Carlitz L., 1979, Util. Math, V15, P51
  • [6] Korobov polynomials of the first kind
    Dolgy, D. V.
    Kim, D. S.
    Kim, T.
    [J]. SBORNIK MATHEMATICS, 2017, 208 (01) : 60 - 74
  • [7] Dolgy DV, 2016, J COMPUT ANAL APPL, V21, P954
  • [8] Kim D. S., 2013, Appl. Math. Sci. (Ruse), V7, P5969, DOI DOI 10.12988/AMS.2013.39535
  • [9] 김태균, 2016, Advanced Studies in Contemporary Mathematics, V26, P481
  • [10] SOME IDENTITIES FOR BERNOULLI NUMBERS OF THE SECOND KIND ARISING FROM A NON-LINEAR DIFFERENTIAL EQUATION
    Kim, Dae San
    Kim, Taekyun
    [J]. BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2015, 52 (06) : 2001 - 2010