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
  • [41] q-Bernoulli polynomials and q-umbral calculus
    Kim, Dae San
    Kim, Tae Kyun
    SCIENCE CHINA-MATHEMATICS, 2014, 57 (09) : 1867 - 1874
  • [42] A note on harmonic numbers, umbral calculus and generating functions
    Dattoli, G.
    Srivastava, H. M.
    APPLIED MATHEMATICS LETTERS, 2008, 21 (07) : 686 - 693
  • [43] A note on degenerate Bernstein polynomials
    Kim, Taekyun
    Kim, Dae San
    Jang, Gwan-Woo
    Kwon, Jongkyum
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2019, 2019 (1)
  • [44] Some identities related to degenerate Bernoulli and degenerate Euler polynomials
    Kim, Taekyun
    Kim, Dae San
    Kim, Wonjoo
    Kwon, Jongkyum
    MATHEMATICAL AND COMPUTER MODELLING OF DYNAMICAL SYSTEMS, 2024, 30 (01) : 882 - 897
  • [45] Barnes-type degenerate Euler polynomials
    Dolgy, Dmitry V.
    Kim, Dae San
    Kim, Taekyun
    Mansourd, Toufik
    APPLIED MATHEMATICS AND COMPUTATION, 2015, 261 : 388 - 396
  • [46] Sheffer Type Degenerate Euler and Bernoulli Polynomials
    Kim, Taekyun
    Ryoo, Cheon Seoung
    FILOMAT, 2019, 33 (19) : 6173 - 6185
  • [47] On the type 2 poly-Bernoulli polynomials associated with umbral calculus
    Kim, Taekyun
    San Kim, Dae
    Dolgy, Dmitry, V
    Park, Jin-Woo
    OPEN MATHEMATICS, 2021, 19 (01): : 878 - 887
  • [48] On Poly-Bernoulli polynomials of the second kind with umbral calculus viewpoint
    Kim, Dae San
    Kim, Taekyun
    Mansour, Toufik
    Dolgy, Dmitry V.
    ADVANCES IN DIFFERENCE EQUATIONS, 2015, : 1 - 13
  • [49] On Poly-Bernoulli polynomials of the second kind with umbral calculus viewpoint
    Dae San Kim
    Taekyun Kim
    Toufik Mansour
    Dmitry V Dolgy
    Advances in Difference Equations, 2015
  • [50] Degenerate Fubini-Type Polynomials and Numbers, Degenerate Apostol-Bernoulli Polynomials and Numbers, and Degenerate Apostol-Euler Polynomials and Numbers
    Jin, Siqintuya
    Dagli, Muhammet Cihat
    Qi, Feng
    AXIOMS, 2022, 11 (09)
12345