Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/16177
Title: On a family of infinite series with reciprocal Catalan numbers
Authors: Adegoke, Kunle
Frontczak, Robert
Гой, Тарас Петрович
Hoi, Taras
Keywords: Catalan numbers
infinite series
Fibonacci numbers
Lucas numbers
Stirling numbers
Mellin transform
Issue Date: 2022
Citation: Adegoke K., Frontczak R., Goy T. On a Family of Infinite Series with Reciprocal Catalan Numbers. Axioms. 2022. Vol. 11. Article 165
Abstract: 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 two types of integral representations
URI: http://hdl.handle.net/123456789/16177
Appears in Collections:Статті та тези (ФМІ)

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