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
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
  • [41] A Note on Degenerate Euler and Bernoulli Polynomials of Complex Variable
    Kim, Dae San
    Kim, Taekyun
    Lee, Hyunseok
    SYMMETRY-BASEL, 2019, 11 (09):
  • [42] Symmetric q-extension of λ-Apostol-Euler polynomials via umbral calculus
    Elmonser, Hedi
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2023, 54 (02): : 583 - 594
  • [43] Some properties of higher-order Daehee polynomials of the second kind arising from umbral calculus
    Dae San Kim
    Taekyun Kim
    Journal of Inequalities and Applications, 2014
  • [44] Umbral calculus associated with Bernoulli polynomials
    Kim, Dae San
    Kim, Taekyun
    JOURNAL OF NUMBER THEORY, 2015, 147 : 871 - 882
  • [45] 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,
  • [46] On λ-Bell polynomials associated with umbral calculus
    Kim, T.
    Kim, D. S.
    RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS, 2017, 24 (01) : 69 - 78
  • [47] On λ-Bell polynomials associated with umbral calculus
    T. Kim
    D. S. Kim
    Russian Journal of Mathematical Physics, 2017, 24 : 69 - 78
  • [48] 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)
  • [49] 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
  • [50] Umbral calculus, martingales, and associated polynomials
    Hammouch, H
    STOCHASTIC ANALYSIS AND APPLICATIONS, 2004, 22 (02) : 443 - 447