| 高阶Apostol-Euler多项式和高阶Apostol-Bernoulli多项式 |
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| 引用本文： | 徐海军,高泽图. 高阶Apostol-Euler多项式和高阶Apostol-Bernoulli多项式[J]. 海南大学学报(自然科学版), 2007, 25(1): 15-19,23 |
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| 作者姓名： | 徐海军 高泽图 |
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| 作者单位： | 海南大学,信息科学技术学院,海南,海口,570228;海南大学,信息科学技术学院,海南,海口,570228 |
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| 摘 要： | 给出高阶Apostol-Euler多项式与高阶Apostol-Bernoulli多项式的定义,研究各自性质及二者之间的关系,同时利用Stirling数给出这两类多项式的计算公式, 推广了文献[5-6] 的结果.
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| 关 键 词： | 高阶Apostol-Euler多项式 高阶Apostol-Euler数 高阶Apostol-Bernoulli多项式 高阶Apostol-Bernoulli数 Stirling数 |
| 文章编号： | 1004-1729(2007)01-0015-05 |
| 修稿时间： | 2006-06-10 |
A Study on the Higher Order Apostol-Euler Polynomials and the Higher Order Apostol-Bernoulli Polynomials |
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| XU Hai-jun,GAO Ze-tu. A Study on the Higher Order Apostol-Euler Polynomials and the Higher Order Apostol-Bernoulli Polynomials[J]. Natural Science Journal of Hainan University, 2007, 25(1): 15-19,23 |
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| Authors: | XU Hai-jun GAO Ze-tu |
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| Abstract: | In this paper,the definition of the higher order Apostol-Euler polynomials and the higher order Apostol-Bernoulli polynomials is created.Some new properties and relations between these two polynomials are offered.Meanwhile,kind of computational formulas of these two polynomials are given by using Stirling number.The results created in the paper are extended. |
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| Keywords: | higher order Apostol-Euler polynomials higher order Apostol-Euler numbers higher order Apostol-Bernoulli polynomials and higher order Apostol-Bernoulli numbers Stirling number |
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