A NOTE ON DEGENERATE MULTI-POLY-BERNOULLI NUMBERS AND POLYNOMIALS

被引：3

作者：

Kim, Taekyun ^{[1
]}

Kim, Dae San ^{[2
]}

机构：

[1] Kwangwoon Univ, Dept Math, Seoul 139701, South Korea

[2] Sogang Univ, Dept Math, Seoul 121742, South Korea

来源：

APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS | 2023年 / 17卷 / 01期

关键词：

Degenerate multi-poly-Bernoulli polynomials; Multiple poly-logarithm; Stirling numbers; Bernoulli polynomials and numbers; INTEGRAL TAYLOR-SERIES; FORMULA; ZEROS;

D O I：

10.2298/AADM200510005K

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the degenerate multi-poly-Bernoulli numbers and polynomials which are defined by means of the multiple polylogarithms and degenerate versions of the multi-poly-Bernoulli numbers and polynomials. We investigate some properties for those numbers and polynomials. In ad-dition, we give some identities and relations for the degenerate multi-poly -Bernoulli numbers and polynomials.

引用

页码：47 / 56

页数：10

共 50 条

[41] Poly-p-Bernoulli polynomials and generalized Arakawa–Kaneko zeta function
Levent Kargın
Lithuanian Mathematical Journal, 2020, 60 : 29 - 50
[42] ON p-ADIC INTEGRAL FOR GENERALIZED DEGENERATE HERMITE-BERNOULLI POLYNOMIALS ATTACHED TO χ OF HIGHER ORDER
Khan, Waseem A.
Haroon, Hiba
HONAM MATHEMATICAL JOURNAL, 2019, 41 (01): : 117 - 133
[43] Identities and relations involving the modified degenerate hermite-based Apostol–Bernoulli and Apostol–Euler polynomials
H. M. Srivastava
Burak Kurt
Veli Kurt
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2019, 113 : 1299 - 1313
[44] Formulas for Calculating Numerical Values of Combinatorial Sums Involving Apostol-Bernoulli Numbers and Polynomials
Gun, Damla
Simsek, Yilmaz
INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2022, ICNAAM-2022, 2024, 3094
[45] Extended Degenerate r-Central Factorial Numbers of the Second Kind and Extended Degenerate r-Central Bell Polynomials
Kim, Dae San
Dolgy, Dmitry V.
Kim, Taekyun
Kim, Dojin
SYMMETRY-BASEL, 2019, 11 (04):
[46] Some Identities and Formulas Derived From Analysis of Distribution Functions Including Bernoulli Polynomials and Stirling Numbers
Simsek, Burcin
FILOMAT, 2020, 34 (02) : 521 - 527
[47] On q-analogs of zeta functions associated with a pair of q-analogs of bernoulli numbers and polynomials
El-Guindy, Ahmad
Mansour, Zeinab
QUAESTIONES MATHEMATICAE, 2022, 45 (06) : 911 - 938
[48] Closed formulas and determinantal expressions for higher-order Bernoulli and Euler polynomials in terms of Stirling numbers
Muhammet Cihat Dağlı
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2021, 115
[49] Closed formulas and determinantal expressions for higher-order Bernoulli and Euler polynomials in terms of Stirling numbers
Dagli, Muhammet Cihat
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2021, 115 (01)
[50] Identities and relations involving the modified degenerate hermite-based Apostol-Bernoulli and Apostol-Euler polynomials
Srivastava, H. M.
Kurt, Burak
Kurt, Veli
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2019, 113 (02) : 1299 - 1313

← 1 2 3 4 5 →