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Some Properties of the Fuss–Catalan Numbers

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Submitted:

13 August 2017

Posted:

15 August 2017

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Abstract
In the paper, the authors express the FussCatalan numbers as several forms in terms of the CatalanQi function, find some analytic properties, including the monotonicity, logarithmic convexity, complete monotonicity, and minimality, of the FussCatalan numbers, and derive a double inequality for bounding the FussCatalan numbers.
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Subject: Computer Science and Mathematics  -   Computational Mathematics
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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