Generalized hypergeometric Bernoulli numbers

被引：4

作者：

Chakraborty, Kalyan ^{[1
,2
]}

Komatsu, Takao ^{[3
]}

机构：

[1] Harish Chandra Res Inst, Allahabad 211019, Uttar Pradesh, India

[2] Kerala Sch Math, Kozhikode 673571, Kerala, India

[3] Zhejiang Sci Tech Univ, Sch Sci, Dept Math Sci, Hangzhou 310018, Peoples R China

来源：

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2021年 / 115卷 / 03期

关键词：

Bernoulli numbers; Hypergeometric Bernoulli numbers; Hypergeometric functions; Dirichlet characters;

D O I：

10.1007/s13398-021-01042-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce generalized hypergeometric Bernoulli numbers for Dirichlet characters. We study their properties, including relations, expressions and determinants. At the end in Appendix we derive first few expressions of these numbers.

引用

页数：14

共 50 条

[31] A SIMPLE EXPLICIT FORMULA FOR THE GENERALIZED BERNOULLI NUMBERS
TODOROV, PG
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1985, 301 (13): : 665 - 666
[32] NOTE ON CERTAIN CONGRUENCES FOR GENERALIZED BERNOULLI NUMBERS
METSANKYLA, T
ARCHIV DER MATHEMATIK, 1978, 30 (06) : 595 - 598
[33] Values of a Class of Generalized Euler and Bernoulli Numbers
Yang, Jin-Hua
Zhao, Feng-Zhen
ARS COMBINATORIA, 2011, 98 : 25 - 32
[34] On some new congruences for generalized Bernoulli numbers
Kanemitsu, Shigeru
Urbanowicz, Jerzy
Wang, Nianliang
ACTA ARITHMETICA, 2012, 155 (03) : 247 - 258
[35] LEHMER'S GENERALIZED EULER NUMBERS IN HYPERGEOMETRIC FUNCTIONS
Barman, Rupam
Komatsu, Takao
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2019, 56 (02) : 485 - 505
[36] GENERALIZED BERNOULLI NUMBERS AND M-REGULAR PRIMES
HAO, FH
PARRY, CJ
MATHEMATICS OF COMPUTATION, 1984, 43 (167) : 273 - 288
[37] On Generalized q-Poly-Bernoulli Numbers and Polynomials
Bilgic, Secil
Kurt, Veli
FILOMAT, 2020, 34 (02) : 515 - 520
[38] SOME RESULTS FOR GENERALIZED BERNOULLI, EULER, STIRLING NUMBERS
TOSCANO, L
FIBONACCI QUARTERLY, 1978, 16 (02): : 103 - 112
[39] A new identity for cosine function and generalized Bernoulli numbers
Mittou, Brahim
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2025,
[40] CONVOLUTIONS OF GENERALIZED STIRLING NUMBERS AND DEGENERATE BERNOULLI POLYNOMIALS
Komatsu, Takao
Young, Paul Thomas
FIBONACCI QUARTERLY, 2020, 58 (04): : 361 - 366

← 1 2 3 4 5 →