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| 摘要: |
| 本文对polylogarithm函数在负整数点的情形作了进一步的研究.利用生成函数方法及Padé估计技巧，建立了此类函数的一些新的循环公式，并给出了主要结果的一些特殊情况. |
| 关键词: polylogarithm函数 生成函数 Padé估计 循环公式 |
| DOI： |
| 分类号:O156.4 |
| 基金项目:Supported by the Foundation for Fostering Talents in Kunming University of Science and Technology (KKSY201307047) and the National Natural Science Foundation of China (11326050; 11071194). |
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| NEW RECURRENCE FORMULAE FOR THE POLYLOGARITHM FUNCTION |
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HE Yuan,ZHANG Jia-ling
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| Abstract: |
| In this paper, we perform a further investigation for the polylogarithm function at negative integral arguments. By applying the generating function methods and Padé approximation techniques, we establish some new recurrence formulae for this type function and present some illustrative special cases of main results. |
| Key words: polylogarithm function generating function Padé approximants recurrence formulae |
