| 涉及高阶Apostol-Genocchi数的一些计算公式 |
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| 引用本文： | 李志荣,袁文俊,白静.涉及高阶Apostol-Genocchi数的一些计算公式[J].安徽大学学报(自然科学版),2009,33(1). |
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| 作者姓名： | 李志荣 袁文俊 白静 |
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| 作者单位： | 1. 中山火炬职业技术学院,信息工程系,广东,中山,528436
2. 广州大学,数学与信息科学学院,广东,广州,510006 |
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| 摘 要： | 根据Apostol-Genocchi数及高阶Apostol-Genocchi数定义,使用发生函数的方法和计算技巧,建立高阶Apostol-Genocchi数与第一类Stirling数之间的恒等式,得到用两类Stirling数给出的高阶Apostol-Genocchi数、Apostol-Genocchi数及高阶Genocchi数的一些计算公式,并得到涉及高阶Genocchi数、高阶Euler数及高阶Bernoulli数的一些恒等式.
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| 关 键 词： | 高阶Apostol-Genocchi数 高阶Genocchi数 Stirling数 恒等式 发生函数 |
Some computational formulas related to higher order apostol-genocchi numbers |
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| LI Zhi-rong,YUAN Wen-jun,BAI Jing.Some computational formulas related to higher order apostol-genocchi numbers[J].Journal of Anhui University(Natural Sciences),2009,33(1). |
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| Authors: | LI Zhi-rong YUAN Wen-jun BAI Jing |
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| Institution: | 1.Department of Information Engineering;Zhongshan Torch College;Zhongshan 528436;China;2.College of Mathematics and Information Sciences;Guangzhou University;Guangzhou 510006;China |
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| Abstract: | By using the method of generating function,the technique of calculating,the definition of the Apostol-Genocchi numbers and the higher order Apostol-Genocchi number,some identity related to high order Apostol-Genocchi number and Stirling numbers were established,and some computational formulas involving high order Apostol-Genocchi number,Apostol-Genocchi number and high order Genocchi numbers were given by Stirling numbers of two kind.Some identities related to the higher order Genocchi numbers,higher order ... |
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| Keywords: | high order Apostol-Genocchi number high order Genocchi number Stirling number identity generating function |
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