On a family of infinite series with reciprocal Catalan numbers

Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/16177

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DC Field	Value	Language
dc.contributor.author	Adegoke, Kunle	-
dc.contributor.author	Frontczak, Robert	-
dc.contributor.author	Гой, Тарас Петрович	-
dc.contributor.author	Hoi, Taras	-
dc.date.accessioned	2023-04-10T06:24:43Z	-
dc.date.available	2023-04-10T06:24:43Z	-
dc.date.issued	2022	-
dc.identifier.citation	Adegoke K., Frontczak R., Goy T. On a Family of Infinite Series with Reciprocal Catalan Numbers. Axioms. 2022. Vol. 11. Article 165	uk_UA
dc.identifier.uri	http://hdl.handle.net/123456789/16177	-
dc.description.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	uk_UA
dc.language.iso	en_US	uk_UA
dc.subject	Catalan numbers	uk_UA
dc.subject	infinite series	uk_UA
dc.subject	Fibonacci numbers	uk_UA
dc.subject	Lucas numbers	uk_UA
dc.subject	Stirling numbers	uk_UA
dc.subject	Mellin transform	uk_UA
dc.title	On a family of infinite series with reciprocal Catalan numbers	uk_UA
dc.type	Article	uk_UA
Appears in Collections:	Статті та тези (ФМІ)

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