Version 1
: Received: 19 November 2020 / Approved: 20 November 2020 / Online: 20 November 2020 (11:34:21 CET)
Version 2
: Received: 2 February 2021 / Approved: 3 February 2021 / Online: 3 February 2021 (10:29:55 CET)
How to cite:
Adegoke, K. Fibonacci-Zeta Infinite Series Associated with the Polygamma Functions. Preprints2020, 2020110539. https://doi.org/10.20944/preprints202011.0539.v1
Adegoke, K. Fibonacci-Zeta Infinite Series Associated with the Polygamma Functions. Preprints 2020, 2020110539. https://doi.org/10.20944/preprints202011.0539.v1
Adegoke, K. Fibonacci-Zeta Infinite Series Associated with the Polygamma Functions. Preprints2020, 2020110539. https://doi.org/10.20944/preprints202011.0539.v1
APA Style
Adegoke, K. (2020). Fibonacci-Zeta Infinite Series Associated with the Polygamma Functions. Preprints. https://doi.org/10.20944/preprints202011.0539.v1
Chicago/Turabian Style
Adegoke, K. 2020 "Fibonacci-Zeta Infinite Series Associated with the Polygamma Functions" Preprints. https://doi.org/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.
Keywords
Fibonacci number; Lucas number; summation identity; series; digamma function; polygamma function; zeta function
Subject
Computer Science and Mathematics, Mathematics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
