Mellin Transform of Weierstrass Zeta Function and Integral Representations of Some Lambert Series

被引：0
|
作者：
Kim, Namhoon [1 ]
机构：
[1] Hongik Univ, Dept Math Educ, 94 Wausan Ro, Seoul 04066, South Korea
来源：
MATHEMATICS | 2025年 / 13卷 / 04期
关键词：
Mellin transform; Weierstrass zeta function; Lambert series; ANALYTIC CONTINUATION;
D O I：
10.3390/math13040582
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider a series which combines two Dirichlet series constructed from the coefficients of a Laurent series and derive a general integral representation of the series as a Mellin transform. As an application, we obtain a family of Mellin integral identities involving the Weierstrass elliptic functions and some Lambert series. These identities are used to derive some of the properties of the Lambert series.
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页数：14
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