A Series Representation for the Hurwitz-Lerch Zeta Function

被引：0
|
作者：
Reynolds, Robert [1 ]
Stauffer, Allan [1 ]
机构：
[1] York Univ, Dept Math & Stat, Toronto, ON M3J 1P3, Canada
来源：
AXIOMS | 2021年 / 10卷 / 04期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Hurwitz-Lerch zeta function; incomplete gamma function; Apery's constant; Catalan's constant; exponential integral function; Cauchy integral;
D O I：
10.3390/axioms10040279
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We derive a new formula for the Hurwitz-Lerch zeta function in terms of the infinite sum of the incomplete gamma function. Special cases are derived in terms of fundamental constants.
引用
收藏
页数：8
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