Some Families of Apéry-Like Fibonacci and Lucas Series
Date
2021
Authors
Frontczak, Robert
Srivastava, H.M.
Tomovski, Živorad
Journal Title
Journal ISSN
Volume Title
Publisher
Mathematics
Abstract
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.
Description
Keywords
Riemann Zeta function, central binomial coefficient, Catalan numbers, Fibonnaci numbers, Lucas numbers, harmonic numbers, Lerch's transcendent (or the Hurwitz-Lerch zeta function)
Citation
Frontczak, R., Srivastava, H. M., & Tomovski, Ž. (2021). Some Families of Apéry-Like Fibonacci and Lucas Series. Mathematics, 9(14), 1-10. https://doi.org/10.3390/math9141621.