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

页数：8

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