Some Families of Apery-Like Fibonacci and Lucas Series

被引：3

作者：

Frontczak, Robert ^{[1
]}

Srivastava, Hari Mohan ^{[2
,3
,4
,5
]}

Tomovski, Zivorad ^{[6
]}

机构：

[1] Landesbank Baden Wurttemberg LBBW, D-70173 Stuttgart, Germany

[2] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3R4, Canada

[3] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40402, Taiwan

[4] Azerbaijan Univ, Dept Math & Informat, 71 Jeyhun Hajibeyli St, AZ-1007 Baku, Azerbaijan

[5] Int Telemat Univ Uninettuno, Sect Math, I-00186 Rome, Italy

[6] Univ Ostrava, Dept Math, Fac Sci, Ostrava 70103, Czech Republic

来源：

MATHEMATICS | 2021年 / 9卷 / 14期

关键词：

Riemann Zeta function; central binomial coefficient; Catalan numbers; Fibonacci numbers; Lucas numbers; harmonic numbers; Lerch's transcendent (or the Hurwitz-Lerch zeta function); SUMS;

D O I：

10.3390/math9141621

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the authors investigate two special families of series involving the reciprocal central binomial coefficients and Lucas numbers. Connections with several familiar sums representing the integer-valued Riemann zeta function are also pointed out.

引用

页数：10

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