Preprint
Article
Fibonacci-Zeta Infinite Series Associated with the Polygamma Functions
This version is not peer-reviewed.
Submitted:
19 November 2020
Posted:
20 November 2020
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Abstract
We derive new infinite series involving Fibonacci numbers and Riemann zeta numbers. The calculations are facilitated by evaluating linear combinations of polygamma functions of the same order at certain arguments.
Keywords:
Fibonacci number
; Lucas number
; summation identity
; series
; digamma function
; polygamma function
; zeta function
Copyright: This open access article is published under a Creative Commons CC BY 4.0 license, which permit the free download, distribution, and reuse, provided that the author and preprint are cited in any reuse.
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