|
|||||
|
|
On some slowly convergent series involving the Hurwitz zeta-function |
|
| Authors: | M. Hashimoto S. Kanemitsu Y. Tanigawa M. Yoshimoto W. -P. Zhang |
| Affiliation: | a Department of Mathematics, Wakayama National College of Technology, Nojima 77, Nada-machi, Gobo, Wakayama 644-0023, Japan b Graduate School of Advanced Technology, Kinki University, Iizuka, Fukuoka 820-8555, Japan c Graduate School of Mathematics, Nagoya University, Nagoya 464-8602, Japan d Department of Mathematics, Northwest University, Xi'an, Shaanxi, People's Republic of China |
| Abstract: | 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. |
| Keywords: | Series Hurwitz zeta-function |
| 本文献已被 ScienceDirect 等数据库收录！ | |