A note on degenerate Euler polynomials arising from umbral calculus

被引:0
|
作者
Lee, Sae Soon [1 ]
Park, Jin-Woo [2 ]
机构
[1] Daegu Univ, Grad Sch Educ, Dept Educ, Math Educ Major, Gyongsan 38453, Gyeongsangbuk D, South Korea
[2] Daegu Univ, Dept Math Educ, Gyongsan 38453, South Korea
来源
JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS | 2024年 / 32卷 / 04期
关键词
Degenerate Euler polynomials; umbral calculus; lambda-analogue of the Stirling numbers of the first and second kind; R-STIRLING NUMBERS; LAMBDA-ANALOGS; IDENTITIES;
D O I
10.22436/jmcs.032.04.04
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we derive some interesting identities that found relationships between degenerate Euler polynomials and some special polynomials by using umbral calculus and lambda-analogue of the Stirling numbers of the first and the second kind, respectively. In addition, we present explicit formulas for representations of the degenerate Euler polynomials.
引用
收藏
页码:332 / 347
页数:16
相关论文
共 50 条
  • [21] Umbral calculus associated with Bernoulli polynomials
    Kim, Dae San
    Kim, Taekyun
    JOURNAL OF NUMBER THEORY, 2015, 147 : 871 - 882
  • [22] Some properties of higher-order Daehee polynomials of the second kind arising from umbral calculus
    Kim, Dae San
    Kim, Taekyun
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
  • [23] On λ-Bell polynomials associated with umbral calculus
    Kim, T.
    Kim, D. S.
    RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS, 2017, 24 (01) : 69 - 78
  • [24] Umbral calculus and Sheffer sequences of polynomials
    Kim, Taekyun
    Kim, Dae San
    Mansour, Toufik
    Rim, Seog-Hoon
    Schork, Matthias
    JOURNAL OF MATHEMATICAL PHYSICS, 2013, 54 (08)
  • [25] ON UMBRAL CALCULUS INVOLVING SPECIAL POLYNOMIALS
    Kim, Dae San
    Kim, Taekyun
    Lee, Sang-Hun
    Rim, Seog-Hoon
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2014, 16 (05) : 833 - 849
  • [26] Degenerate q-Euler polynomials
    Kim, Taekyun
    Kim, Dae San
    Dolgy, Dmitry V.
    ADVANCES IN DIFFERENCE EQUATIONS, 2015,
  • [27] The Lagrange polynomials, the associated generalizations, and the Umbral Calculus
    Dattoli, G
    Ricci, PE
    Cesarano, C
    INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2003, 14 (02) : 181 - 186
  • [28] Representations by degenerate Bernoulli polynomials arising from Volkenborn integral
    Kim, Dae San
    Kim, Taekyun
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2022, 45 (11) : 6615 - 6634
  • [29] Identities involving degenerate Euler numbers and polynomials arising from non-linear differential equations
    Kim, Taekyun
    Kim, Dae San
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (05): : 2086 - 2098
  • [30] Probabilistic degenerate Bernoulli and degenerate Euler polynomials
    Luo, Lingling
    Kim, Taekyun
    Kim, Dae San
    Ma, Yuankui
    MATHEMATICAL AND COMPUTER MODELLING OF DYNAMICAL SYSTEMS, 2024, 30 (01) : 342 - 363