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.
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.
作者
杨师杰
YANG Shi-jie(Department of Physics,Beijing Normal University,Zhuhai,Guangdong 519087,China)
出处
《大学物理》
2024年第8期4-6,共3页
College Physics
关键词
留数法
玻色分布函数
无穷级数和
米塔-列夫勒展开
residue calculus
Bose distribution function
summation of infinite series
Mittag-Leffler expansion
