Preprint Article Version 1 This version is not peer-reviewed

Fibonacci-Zeta Infinite Series Associated with the Polygamma Functions

Version 1 : Received: 19 November 2020 / Approved: 20 November 2020 / Online: 20 November 2020 (11:34:21 CET)

How to cite: Adegoke, K. Fibonacci-Zeta Infinite Series Associated with the Polygamma Functions. Preprints 2020, 2020110539 (doi: 10.20944/preprints202011.0539.v1). Adegoke, K. Fibonacci-Zeta Infinite Series Associated with the Polygamma Functions. Preprints 2020, 2020110539 (doi: 10.20944/preprints202011.0539.v1).

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.

Subject Areas

Fibonacci number; Lucas number; summation identity; series; digamma function; polygamma function; zeta function

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