| Apostal-Bernoulli-Euler多项式的几个组合恒等式 |
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| 引用本文： | 韩艺兵,祝清顺,贾利新. Apostal-Bernoulli-Euler多项式的几个组合恒等式[J]. 河南科学, 2011, 29(4): 388-390 |
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| 作者姓名： | 韩艺兵 祝清顺 贾利新 |
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| 作者单位： | 1. 信息工程大学理学院数理系,郑州,450001
2. 信息工程大学电子技术学院,郑州,450004 |
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| 摘 要： | 主要是在组合恒等式中引入多参数组合数,给出了理想的Apostol-Bernoulli多项式与Apostol-Euler多项式的新的组合恒等式.在恒等式中选取适当的参数,就可以得到已有的著名的关于Bernoulli多项式、Euler多项式之间的组合恒等式,从而深化和补充了文献[1-2]中的相关结果.
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| 关 键 词： | Apostol-Bemoulli多项式 Apostol-Euler多项式 组合恒等式 生成函数 |
Identities about Apostol-Bernoulli-Euler Polynomials |
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| Han Yibing,Zhu Qingshun,Jia Lixin. Identities about Apostol-Bernoulli-Euler Polynomials[J]. Henan Science, 2011, 29(4): 388-390 |
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| Authors: | Han Yibing Zhu Qingshun Jia Lixin |
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| Affiliation: | 1.Department of Mathematics and Physics,Institute of Sciences,Information Engineering University,Zhengzhou 450001,China;2.Electronic Technology Institute,Information Engineering University,Zhengzhou 450004,China) |
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| Abstract: | In this paper,combined with the theory of generating functions are given a number of computing skills Apostol-Bernoulli polynomials,Apostol-Euler polynomials of a beautiful combinatorial identities.In the selection of appropriate parameters of the equation can be obtained on the existing well-known Bernoulli polynomial,Euler polynomial of combinatorial identities. |
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| Keywords: | Apostol-Bernoulli polynomials Apostol-Euler polynomials combinatorial identities generating function |
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