Some identities on degenerate poly-Euler polynomials arising from degenerate polylogarithm functions

被引:1
|
作者
Luo, Lingling [1 ]
Ma, Yuankui [1 ]
Kim, Taekyun [2 ]
Li, Hongze [3 ]
机构
[1] Xian Technol Univ, Sch Sci, Xian, Shaanxi, Peoples R China
[2] Kwangwoon Univ, Dept Math, Seoul, South Korea
[3] Shanghai Jiao Tong Univ, Sch Math Sci, Shanghai, Peoples R China
来源
基金
中国国家自然科学基金;
关键词
Euler numbers and polynomials; degenerate Euler numbers and polynomials; degenerate; poly-Euler numbers and polynomials; degenerate polylogarithm functions;
D O I
10.1080/27690911.2023.2257369
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Our main focus here is a new type of degenerate poly-Euler polynomials and numbers. This focus stems from their nascent importance for applications in combinatorics, number theory and in other aspects of applied mathematics. We construct a new type of degenerate poly-Euler polynomials by using the degenerate polylogarithm functions. We also show several combinatorial identities related to this polynomials and numbers.
引用
收藏
页数:14
相关论文
共 50 条
  • [31] 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
  • [32] SYMMETRIC IDENTITIES FOR THE FULLY DEGENERATE BERNOULLI POLYNOMIALS AND DEGENERATE EULER POLYNOMIALS UNDER SYMMETRIC GROUP OF DEGREE n
    Kim, Taekyun
    Kwon, Hyuck-In
    Mansour, Toufik
    Rim, Seog-Hoon
    UTILITAS MATHEMATICA, 2017, 103 : 61 - 72
  • [33] A (p, q)-Analog of Poly-Euler Polynomials and Some Related Polynomials
    T. Komatsu
    J. L. Ramírez
    V. F. Sirvent
    Ukrainian Mathematical Journal, 2020, 72 : 536 - 554
  • [34] Some identities of extended degenerate r-central Bell polynomials arising from umbral calculus
    Taekyun Kim
    Dae San Kim
    Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2020, 114
  • [35] Some identities of extended degenerate r-central Bell polynomials arising from umbral calculus
    Kim, Taekyun
    Kim, Dae San
    REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2020, 114 (01)
  • [36] Some Identities on Truncated Polynomials Associated with Degenerate Bell Polynomials
    Kim, T.
    Kim, D. S.
    RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS, 2021, 28 (03) : 342 - 355
  • [37] Some identities related to degenerate r-Bell and degenerate Fubini polynomials
    Kim, Taekyun
    San Kim, Dae
    Kwon, Jongkyum
    APPLIED MATHEMATICS IN SCIENCE AND ENGINEERING, 2023, 31 (01):
  • [38] Some Identities of the Degenerate Multi-Poly-Bernoulli Polynomials of Complex Variable
    Muhiuddin, G.
    Khan, W. A.
    Duran, U.
    Al-Kadi, D.
    JOURNAL OF FUNCTION SPACES, 2021, 2021
  • [39] Some Identities on Truncated Polynomials Associated with Degenerate Bell Polynomials
    T. Kim
    D. S. Kim
    Russian Journal of Mathematical Physics, 2021, 28 : 342 - 355
  • [40] Some identities of higher order Euler polynomials arising from Euler basis
    Kim, Dae San
    Kim, Taekyun
    INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2013, 24 (09) : 734 - 738