On a Family of Infinite Series with Reciprocal Catalan Numbers

We study a certain family of infinite series with reciprocal Catalan numbers. We first evaluate two special candidates of the family in closed form, where we also present some Catalan–Fibonacci relations. Then, we focus on the general properties of the family and prove explicit formulas, including t...

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Bibliographic Details
Main Authors: Kunle Adegoke, Robert Frontczak, Taras Goy
Format: Article
Language:English
Published: MDPI AG 2022-04-01
Series:Axioms
Subjects:
Online Access:https://www.mdpi.com/2075-1680/11/4/165