A Note on Bernoulli and Euler Type Numbers and Polynomials

被引：0
作者：
Agyuz, Erkan [1 ]
机构：
[1] Gaziantep Univ, Vocat Sch Tech Sci, Dept Elect & Automat, TR-27310 Gaziantep, Turkiye
来源：
INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2022, ICNAAM-2022 | 2024年 / 3094卷
关键词：
Generating functions; Euler numbers; Euler polynomials; Bernoulli numbers; Bernoulli polynomials;
D O I：
10.1063/5.0210609
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This study's primary goal is to provide some identities and relations for unique polynomials and integers, particularly those of the Euler and Bernoulli kinds. We display graphs for some of these polynomials' values. Besides, we obtain some results between these polynomials and special numbers and polynomials involving numbers y(1)(n, k; lambda) and generalized array type polynomials S-v(n)(x; a, b; lambda).
引用
收藏
页数：4
相关论文
共 50 条
  • [31] An algorithm for computing mixed sums of products of Bernoulli polynomials and Euler polynomials
    Feng, Lei
    Wang, Weiping
    JOURNAL OF SYMBOLIC COMPUTATION, 2015, 66 : 84 - 97
  • [32] BARNES-TYPE DEGENERATE BERNOULLI AND EULER MIXED-TYPE POLYNOMIALS
    Kim, Taekyun
    Kim, Dae San
    Kwon, Hyuckin
    Mansour, Toufik
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2017, 22 (07) : 1273 - 1287
  • [33] Triple convolution identities on Bernoulli polynomials and Euler polynomials
    Wang, Weiping
    Liu, Hongmei
    Jia, Cangzhi
    UTILITAS MATHEMATICA, 2016, 101 : 369 - 395
  • [34] A note on Bernoulli numbers
    Muthumalai, Ramesh Kumar
    NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS, 2013, 19 (01) : 59 - 65
  • [35] Fourier Series for Bernoulli-Type Polynomials, Euler-Type Polynomials and Genocchi-Type Polynomials of Integer Order
    Corcino, Cristina B.
    Corcino, Roberto B.
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2022, 15 (04): : 1662 - 1682
  • [36] Bernoulli and Euler Polynomials in Clifford Analysis
    G.F. Hassan
    L. Aloui
    Advances in Applied Clifford Algebras, 2015, 25 : 351 - 376
  • [37] Bernoulli and Euler Polynomials in Clifford Analysis
    Hassan, G. F.
    Aloui, L.
    ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2015, 25 (02) : 351 - 376
  • [38] On Generating Functions for Parametrically Generalized Polynomials Involving Combinatorial, Bernoulli and Euler Polynomials and Numbers
    Bayad, Abdelmejid
    Simsek, Yilmaz
    SYMMETRY-BASEL, 2022, 14 (04):
  • [39] Power expansions of powers of trigonometric functions andseries containing Bernoulli and Euler polynomials
    Brychkov, Yu. A.
    INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2009, 20 (11) : 797 - 804
  • [40] SOME THEOREMS ON BERNOULLI AND EULER NUMBERS
    Hwang, K. -W.
    Dolgy, D. V.
    Kim, D. S.
    Kim, T.
    Lee, S. H.
    ARS COMBINATORIA, 2013, 109 : 285 - 297
12345