On the Poincare expansion of the Hurwitz zeta function

被引：1

作者：

Fejzullahu, Bujar ^{[1
]}

机构：

[1] Univ Prishtina, Dept Math, Pristina, Kosovo

来源：

LITHUANIAN MATHEMATICAL JOURNAL | 2021年 / 61卷 / 04期

关键词：

Hurwitz zeta function; Poincare expansion; exponential improved expansion; incomplete gamma function; Lommel functions; SERIES;

D O I：

10.1007/s10986-021-09527-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we extend the result of Paris [R.B. Paris, The Stokes phenomenon associated with the Hurwitz zeta function zeta(s, a), Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci., 461(2053):297-304, 2005] on the exponentially improved expansion of the Hurwitz zeta function zeta(s, z), the expansion of which can be reduced to the large-z Poincare asymptotics of zeta(s, z). Furthermore, we deduce some new series and integral representations of the Hurwitz zeta function zeta(s, z).

引用

页码：460 / 470

页数：11

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