AN IMPROPER INTEGRAL, THE BETA FUNCTION, THE WALLIS RATIO, AND THE CATALAN NUMBERS
In the paper we present closed and unified expressions for a sequence of improper integrals in terms of the beta function and the Wallis ratio. Hereafter, we derive integral representations for the Catalan numbers originating from combinatorics
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| Format: | Article |
| Language: | English |
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Petrozavodsk State University
2018-06-01
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| Series: | Проблемы анализа |
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| Online Access: | http://issuesofanalysis.petrsu.ru/article/genpdf.php?id=4370&lang=ru |