Explicit Formulas for Some Infinite <sub>3</sub><i>F</i><sub>2</sub>(1)-Series

We establish two recurrence relations for some Clausen’s hypergeometric functions with unit argument. We solve them to give the explicit formulas. Additionally, we use the moments of Ramanujan’s generalized elliptic integrals to obtain these recurrence relations.

Bibliographic Details
Main Author: Kwang-Wu Chen
Format: Article
Language:English
Published: MDPI AG 2021-06-01
Series:Axioms
Subjects:
Online Access:https://www.mdpi.com/2075-1680/10/2/125