A note on q-Bernoulli numbers and polynomials

被引：26

作者：

Hegazi, A. S. ^{[1
]}

Mansour, M. ^{[1
]}

机构：

[1] Mansoura Univ, Mansoura 35516, Egypt

来源：

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS | 2006年 / 13卷 / 01期

关键词：

D O I：

10.2991/jnmp.2006.13.1.2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we define a new q-analogy of the Bernoulli polynomials and the Bernoulli numbers and we deduced some important relations of them. Also, we deduced a q-analogy of the Euler-Maclaurin formulas. Finally, we present a relation between the q-gamma function and the q-Bernoulli polynomials.

引用

页码：9 / 18

页数：10

共 13 条

[1]

Andrews GE., 1999, SPECIAL FUNCTIONS, V71

[2]

[Anonymous], 1965, SPECIAL FUNCTIONS

[3]

ASKEY R, 1996, CRM P LECT NOTES, V9

[4] Q-BERNOULLI NUMBERS AND POLYNOMIALS [J].

CARLITZ, L .

DUKE MATHEMATICAL JOURNAL, 1948, 15 (04) :987-1000

[5]

Gasper G., 1990, Basic Hypergeometric Series

[6]

Kac V., 2002, Quantum Calculus, DOI [10.1007/978-1-4613-0071-7, DOI 10.1007/978-1-4613-0071-7]

[7]

Kim T, 2003, RUSS J MATH PHYS, V10, P91

[8]

KIM T, 2000, ADV STUD CONT MATH, V2, P9

[9]

KIM T, 2003, FAR E J APPL MATH, V13, P13

[10]

KOEKOEK R, 1994, 9405 TU

← 1 2 →