Some identities of higher-order Bernoulli, Euler, and Hermite polynomials arising from umbral calculus

被引:2
|
作者
Kim, Dae San [1 ]
Kim, Taekyun [2 ]
Dolgy, Dmitry V. [3 ]
Rim, Seog-Hoon [4 ]
机构
[1] Sogang Univ, Dept Math, Seoul 121742, South Korea
[2] Kwangwoon Univ, Dept Math, Seoul 139701, South Korea
[3] Kwangwoon Univ, Seoul 139701, South Korea
[4] Kyungpook Natl Univ, Dept Math Educ, Taegu 702701, South Korea
关键词
Bernoulli polynomial; Euler polynomial; Abel polynomial;
D O I
10.1186/1029-242X-2013-211
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we study umbral calculus to have alternative ways of obtaining our results. That is, we derive some interesting identities of the higher-order Bernoulli, Euler, and Hermite polynomials arising from umbral calculus to have alternative ways.
引用
收藏
页数:10
相关论文
共 50 条
  • [41] Identities involving 3-variable Hermite polynomials arising from umbral method
    Nusrat Raza
    Umme Zainab
    Serkan Araci
    Ayhan Esi
    [J]. Advances in Difference Equations, 2020
  • [42] Identities involving 3-variable Hermite polynomials arising from umbral method
    Raza, Nusrat
    Zainab, Umme
    Araci, Serkan
    Esi, Ayhan
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
  • [43] Some Identities for Euler and Bernoulli Polynomials and Their Zeros
    Kim, Taekyun
    Ryoo, Cheon Seoung
    [J]. AXIOMS, 2018, 7 (03)
  • [44] Some Identities on Bernoulli and Hermite Polynomials Associated with Jacobi Polynomials
    Kim, Taekyun
    Kim, Dae San
    Dolgy, Dmitry V.
    [J]. DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2012, 2012
  • [45] SOME IDENTITIES OF HIGHER ORDER GENOCHI POLYNOMIALS ARISING FROM HIGHER ORDER GENOCCHI BASIS
    Kang, Dongjin
    Jeong, Joo-Hee
    Lee, Bong Ju
    Rim, Seog-Hoon
    Choi, Sun Hee
    [J]. JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2014, 17 (01) : 141 - 146
  • [46] Novel identities involving Genocchi numbers and polynomials arising from applications of umbral calculus
    Araci, Serkan
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2014, 233 : 599 - 607
  • [47] SOME IDENTITIES ON THE EULER NUMBERS ARISING FROM EULER BASIS POLYNOMIALS
    Kim, T.
    Kim, D. S.
    Dolgy, D. V.
    Rim, S. H.
    [J]. ARS COMBINATORIA, 2013, 109 : 433 - 446
  • [48] A novel approach for obtaining new identities for the λ extension of q- Euler polynomials arising from the q-umbral calculus
    Araci, Serkan
    Acikgoz, Mehmet
    Diagana, Toka
    Srivastava, H. M.
    [J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (04): : 1316 - 1325
  • [49] Symmetric identities of higher-order degenerate q-Euler polynomials
    Kim, Dae San
    Kim, Taekyun
    [J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (02): : 443 - 451
  • [50] A New Class of Higher-Order Hypergeometric Bernoulli Polynomials Associated with Lagrange-Hermite Polynomials
    Muhiuddin, Ghulam
    Khan, Waseem Ahmad
    Duran, Ugur
    Al-Kadi, Deena
    [J]. SYMMETRY-BASEL, 2021, 13 (04):