广义Bernoulli和Euler多项式之间关系的一些注记

数学季刊 ›› 2010, Vol. 25 ›› Issue (1): 16-22.

广义Bernoulli和Euler多项式之间关系的一些注记

1. Department of Mathematics, East China Normal University2. Department of Mathematics, Jiaozuo University

收稿日期:2005-12-22 出版日期:2010-03-30 发布日期:2023-06-07
作者简介: LUO Qiu-ming(1966- ), male, native of Wuzhi, Henan, full professor of Jiaozuo University, engages in the special functions and number theory; GE Shu-mei(1968- ), female, native of Wuzhi, Henan, a professor of Jiaozuo University, engages an the number theory.
基金资助:
Supported by the PCSIRT of Education of China(IRT0621)； Supported by the Innovation Program of Shanghai Municipal Education Committee of China(08ZZ24)； Supported by the Henan Innovation Project for University Prominent Research Talents of China(2007KYCX0021)；

Some Remarks for the Relationships between the Generalized Bernoulli and Euler Polynomials

1. Department of Mathematics, East China Normal University2. Department of Mathematics, Jiaozuo University

Received:2005-12-22 Online:2010-03-30 Published:2023-06-07
About author: LUO Qiu-ming(1966- ), male, native of Wuzhi, Henan, full professor of Jiaozuo University, engages in the special functions and number theory; GE Shu-mei(1968- ), female, native of Wuzhi, Henan, a professor of Jiaozuo University, engages an the number theory.
Supported by:
Supported by the PCSIRT of Education of China(IRT0621)； Supported by the Innovation Program of Shanghai Municipal Education Committee of China(08ZZ24)； Supported by the Henan Innovation Project for University Prominent Research Talents of China(2007KYCX0021)；

摘要/Abstract

摘要： In this paper, we prove the Srivastava-Pinter's addition theorems(see Applied Mathematic Lett.17(2004),375-380) by applying the another methods. We also provide some analoges of these addition theorems and deduce the corresponding special cases.

关键词: Bernoulli polynomials and numbers, Euler polynomials and numbers, generalized Bernoulli polynomials and numbers, generalized Euler polynomials and numbers; generating functions, Srivastava-Pinter’s addition theorem

Abstract: In this paper, we prove the Srivastava-Pinter's addition theorems(see Applied Mathematic Lett.17(2004),375-380) by applying the another methods. We also provide some analoges of these addition theorems and deduce the corresponding special cases.

Key words: Bernoulli polynomials and numbers, Euler polynomials and numbers, generalized Bernoulli polynomials and numbers, generalized Euler polynomials and numbers; generating functions, Srivastava-Pinter’s addition theorem

中图分类号:

O174.14

雒秋明, 葛淑梅. 广义Bernoulli和Euler多项式之间关系的一些注记[J]. 数学季刊, 2010, 25(1): 16-22.

LUO Qiu-ming, GE Shu-mei. Some Remarks for the Relationships between the Generalized Bernoulli and Euler Polynomials[J]. Chinese Quarterly Journal of Mathematics, 2010, 25(1): 16-22.

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