On Appell sequences of polynomials of Bernoulli and Euler type

被引:35
|
作者
Tempesta, Piergiulio [1 ]
机构
[1] Scuola Normale Super Pisa, Ctr Ric Matemat Ennio De Giorgi, I-56100 Pisa, Italy
关键词
generalized Bernoulli polynomials; finite operator theory; Appell sequences;
D O I
10.1016/j.jmaa.2007.07.018
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A construction of new sequences of generalized Bernoulli polynomials of first and second kind is proposed. These sequences share with the classical Bernoulli polynomials many algebraic and number theoretical properties. A class of Euler-type polynomials is also presented. (C) 2007 Elsevier Inc. All rights reserved.
引用
收藏
页码:1295 / 1310
页数:16
相关论文
共 50 条
  • [1] HYPERGEOMETRIC BERNOULLI POLYNOMIALS AND APPELL SEQUENCES
    Hassen, Abdul
    Nguyen, Hieu D.
    [J]. INTERNATIONAL JOURNAL OF NUMBER THEORY, 2008, 4 (05) : 767 - 774
  • [2] Adjoint Appell-Euler and First Kind Appell-Bernoulli Polynomials
    Natalini, Pierpaolo
    Ricci, Paolo E.
    [J]. APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, 2019, 14 (02): : 1112 - 1122
  • [3] Hankel determinants of sequences related to Bernoulli and Euler polynomials
    Dilcher, Karl
    Jiu, Lin
    [J]. INTERNATIONAL JOURNAL OF NUMBER THEORY, 2022, 18 (02) : 331 - 359
  • [4] Sheffer Type Degenerate Euler and Bernoulli Polynomials
    Kim, Taekyun
    Ryoo, Cheon Seoung
    [J]. FILOMAT, 2019, 33 (19) : 6173 - 6185
  • [5] Probabilistic type 2 Bernoulli and Euler polynomials
    Chen, Li
    Dolgy, Dmitry, V
    Kim, Taekyun
    Kim, Dae San
    [J]. AIMS MATHEMATICS, 2024, 9 (06): : 14312 - 14324
  • [6] A Note on Bernoulli and Euler Type Numbers and Polynomials
    Agyuz, Erkan
    [J]. INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2022, ICNAAM-2022, 2024, 3094
  • [7] Multidimensional extensions of the Bernoulli and Appell polynomials
    Bretti, G
    Ricci, PE
    [J]. TAIWANESE JOURNAL OF MATHEMATICS, 2004, 8 (03): : 415 - 428
  • [8] ON EULER AND BERNOULLI POLYNOMIALS
    BRILLHAR.J
    [J]. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1969, 234 : 45 - &
  • [9] Barnes' type multiple degenerate Bernoulli and Euler polynomials
    Kim, Tae Kyun
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2015, 258 : 556 - 564
  • [10] Unified Bernoulli-Euler polynomials of Apostol type
    Hacène Belbachir
    Yahia Djemmada
    Slimane Hadj-Brahim
    [J]. Indian Journal of Pure and Applied Mathematics, 2023, 54 : 76 - 83