大学物理 ›› 2024, Vol. 43 ›› Issue (8): 4-.doi: 10.16854/j.cnki.1000-0712.230445
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杨师杰
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YANG Shi-jie
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摘要： 本文通过量子统计的玻色/费米分布函数,利用留数定理引入一种求无穷级数和的方法.我们采用该方法求出几种无穷级数的和,并在此基础上求得一些函数的米塔-列夫勒展开式.
关键词: 留数法, 玻色分布函数, 无穷级数和, 米塔-列夫勒展开
Abstract: By employing the Bose and Fermi distribution functions, we introduce a method to calculate the summation of an infinite series via the residue calculus. With this method we obtain several infinite series sums and further derive the Mittag-Leffler expansions of some important functions.
Key words: residue calculus, Bose distribution function, summation of infinite series, Mittag-Leffler expansion
杨师杰. 留数法在计算无穷级数和的应用[J]. 大学物理, 2024, 43(8): 4-.
YANG Shi-jie. Evaluating summation of series with the resdue calculus[J]. College Physics, 2024, 43(8): 4-.
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链接本文: https://dxwl.bnu.edu.cn/CN/10.16854/j.cnki.1000-0712.230445
https://dxwl.bnu.edu.cn/CN/Y2024/V43/I8/4
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