Submitted:
19 November 2020
Posted:
20 November 2020
Read the latest preprint version here
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
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