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

页数：4

共 50 条

[21] On Hermite Base Apostol-Euler Type Polynomials and Numbers
Yuluklu, Eda
INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2017), 2018, 1978
[22] Identities for Bernoulli polynomials and Bernoulli numbers
Horst Alzer
Man Kam Kwong
Archiv der Mathematik, 2014, 102 : 521 - 529
[23] Identities for Bernoulli polynomials and Bernoulli numbers
Alzer, Horst
Kwong, Man Kam
ARCHIV DER MATHEMATIK, 2014, 102 (06) : 521 - 529
[24] Frobenious-Euler Type Polynomials Related to Hermite-Bernoulli Polynomials
Kurt, Burak
Simsek, Yilmaz
NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS A-C, 2011, 1389
[25] Unification of Generating Function of the Bernoulli, Euler and Genocchi Numbers and Polynomials
Ozden, Hacer
NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS I-III, 2010, 1281 : 1125 - 1128
[26] A note on degenerate poly-Bernoulli numbers and polynomials
Kim, Dae San
Kim, Taekyun
ADVANCES IN DIFFERENCE EQUATIONS, 2015,
[27] A note on generalized twisted q-Euler numbers and polynomials
Ryoo, C. S.
Seo, J. J.
Kim, T.
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2008, 10 (04) : 483 - 493
[28] Turan type inequalities for the partial sums of the generating functions of Bernoulli and Euler numbers
Koumandos, Stamatis
Pedersen, Henrik Laurberg
MATHEMATISCHE NACHRICHTEN, 2012, 285 (17-18) : 2129 - 2156
[29] A NEW FAMILY OF FUBINI TYPE NUMBERS AND POLYNOMIALS ASSOCIATED WITH APOSTOL-BERNOULLI NUMBERS AND POLYNOMIALS
Kilar, Neslihan
Simsek, Yilmaz
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2017, 54 (05) : 1605 - 1621
[30] A note on high order Bernoulli numbers and polynomials using differential equations
Choi, Jongsung
Kim, Young-Hee
APPLIED MATHEMATICS AND COMPUTATION, 2014, 249 : 480 - 486

← 1 2 3 4 5 →