Summation of certain trigonometric series with logarithmic coefficients

被引：0
|
作者：
Rufus Boyack
机构：
[1] University of Alberta,Department of Physics & Theoretical Physics Institute
来源：
The Journal of Analysis | 2022年 / 30卷
关键词：
Trigonometric series; Logarithmic coefficients; Digamma function; Frullani’s theorem; 42A20; 42A24; 42A32;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The sums of three trigonometric series with logarithmic coefficients are derived by extending an approach first utilized by Lerch. By applying Frullani’s theorem to two of these series, two non-trivial integrals involving hyperbolic functions are evaluated in terms of the digamma function.
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页码：119 / 129
页数：10
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