On some slowly convergent series involving the Hurwitz zeta-function

被引：1

作者：

Hashimoto, M

Kanemitsu, S

Tanigawa, Y ^{[1
]}

Yoshimoto, M

Zhang, WP

机构：

[1] Nagoya Univ, Grad Sch Math, Nagoya, Aichi 4648602, Japan

[2] Kinki Univ, Grad Sch Adv Technol, Fukuoka 8208555, Japan

[3] Wakayama Natl Coll Technol, Dept Math, Wakayama 6440023, Japan

[4] NW Univ Xian, Dept Math, Xian 710069, Shaanxi, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2003年 / 160卷 / 1-2期

关键词：

series; Hurwitz zeta-function;

D O I：

10.1016/S0377-0427(03)00617-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We shall extract the essence of the Adamchik-Srivastava generating function method (Analysis (Munich) 18 (1998) 131) by proving the most far-reaching Ramanujan-Yoshimoto formula and by showing that some of the results stated in Srivastava and Choi (Series Associated with the Zeta and Related Functions, Kluwer Academic Publishers, Dordrecht, 2001) are simple consequences of the above-mentioned formula. (C) 2003 Elsevier B.V. All rights reserved.

引用

页码：113 / 123

页数：11

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