Some Families of Apéry-Like Fibonacci and Lucas Series

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.

Bibliographic Details
Published in:Mathematics
Main Authors: Robert Frontczak, Hari Mohan Srivastava, Živorad Tomovski
Format: Article
Language:English
Published: MDPI AG 2021-07-01
Subjects:
Riemann Zeta function
central binomial coefficient
Catalan numbers
Fibonacci numbers
Lucas numbers
harmonic numbers
Online Access:https://www.mdpi.com/2227-7390/9/14/1621
Description
Summary: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.
ISSN:2227-7390

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