Article
Version 2
Preserved in Portico This version is not peer-reviewed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)
Version 2 : Received: 2 February 2021 / Approved: 3 February 2021 / Online: 3 February 2021 (10:29:55 CET)
Version 2 : Received: 2 February 2021 / Approved: 3 February 2021 / Online: 3 February 2021 (10:29:55 CET)
How to cite: Adegoke, K.; Ghosh, S. Fibonacci-Zeta Infinite Series Associated with the Polygamma Functions. Preprints 2020, 2020110539. https://doi.org/10.20944/preprints202011.0539.v2 Adegoke, K.; Ghosh, S. Fibonacci-Zeta Infinite Series Associated with the Polygamma Functions. Preprints 2020, 2020110539. https://doi.org/10.20944/preprints202011.0539.v2
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, Algebra and Number Theory
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.
Comments (1)
We encourage comments and feedback from a broad range of readers. See criteria for comments and our Diversity statement.
Leave a public commentSend a private comment to the author(s)
* All users must log in before leaving a comment
Commenter: Kunle Adegoke
Commenter's Conflict of Interests: Author