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：
APPLIED MATHEMATICS IN SCIENCE AND ENGINEERING | 2023年 / 31卷 / 01期
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
  • [21] Some Identities of Fully Degenerate Bernoulli Polynomials Associated with Degenerate Bernstein Polynomials
    Lee, Jeong Gon
    Kim, Wonjoo
    Jang, Lee-Chae
    SYMMETRY-BASEL, 2019, 11 (05):
  • [22] SOME IDENTITIES FOR DEGENERATE FROBENIUS-EULER NUMBERS ARISING FROM NONLINEAR DIFFERENTIAL EQUATIONS
    Kim, Taekyun
    Kim, Dae San
    Kwon, Hyuck-In
    Seo, Jong-Jin
    ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2016, (36): : 843 - 850
  • [23] Some identities for degenerate frobenius-euler numbers arising from nonlinear differential equations
    Kim, Taekyun
    Kim, Dae San
    Kwon, Hyuck-In
    Seo, Jong-Jin
    Italian Journal of Pure and Applied Mathematics, 2016, 36 : 843 - 850
  • [24] Some identities of degenerate harmonic and degenerate hyperharmonic numbers arising from umbral calculus
    Kim, Taekyun
    Kim, Dae San
    Kim, Hye Kyung
    OPEN MATHEMATICS, 2023, 21 (01):
  • [25] Some identities of degenerate multi-poly-Changhee polynomials and numbers
    Yun, Sang Jo
    Park, Sangbeom
    Park, Jin-Woo
    Kwon, Jongkyum
    ELECTRONIC RESEARCH ARCHIVE, 2023, 31 (12): : 7244 - 7255
  • [26] SOME IDENTITIES INVOLVING THE DEGENERATE BELL-CARLITZ POLYNOMIALS ARISING FROM DIFFERENTIAL EQUATION
    Seo, Jong Jin
    Ryoo, Cheon Seoung
    JOURNAL OF APPLIED MATHEMATICS & INFORMATICS, 2020, 38 (5-6): : 427 - 438
  • [27] A (p, q)-ANALOG OF POLY-EULER POLYNOMIALS AND SOME RELATED POLYNOMIALS
    Komatsu, T.
    Ramirez, J. L.
    Sirvent, V. F.
    UKRAINIAN MATHEMATICAL JOURNAL, 2020, 72 (04) : 536 - 554
  • [28] SOME IDENTITIES ON THE EULER NUMBERS ARISING FROM EULER BASIS POLYNOMIALS
    Kim, T.
    Kim, D. S.
    Dolgy, D. V.
    Rim, S. H.
    ARS COMBINATORIA, 2013, 109 : 433 - 446
  • [29] Some identities of degenerate Euler polynomials arising from p-adic fermionic integrals on DOUBLE-STRUCK CAPITAL Zp
    Kim, Dae San
    Kim, Taekyun
    INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2015, 26 (04) : 295 - 302
  • [30] Some Identities Relating to Degenerate Bernoulli Polynomials
    Kim, Taekyun
    Kim, Dae San
    Kwon, Hyuck-In
    FILOMAT, 2016, 30 (04) : 905 - 912
12345