Preprint
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An Improper Integral with a Square Root
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Submitted:
20 October 2016
Posted:
21 October 2016
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Abstract
In the paper, the author presents explicit and unified expressions for a sequence of improper integrals in terms of the beta functions and the Wallis ratios. Hereafter, the author derives integral representations for the Catalan numbers originating from combinatorics.
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Subject: Computer Science and Mathematics - Analysis
Copyright: This open access article is published under a Creative Commons CC BY 4.0 license, which permit the free download, distribution, and reuse, provided that the author and preprint are cited in any reuse.
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