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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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File | Description | Size | Format | |
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axioms-11-00165.pdf | 289.66 kB | Adobe PDF | View/Open |
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