Some Properties of the Fuss–Catalan Numbers

Feng Qi and Pietro Cerone
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Feng Qi: Institute of Mathematics, Henan Polytechnic University, Jiaozuo 454010, Henan, China
Pietro Cerone: Department of Mathematics and Statistics, La Trobe University, Melbourne (Bundoora) 3086, Victoria, Australia

Mathematics, 2018, vol. 6, issue 12, 1-11

Abstract: In the paper, the authors express the Fuss–Catalan numbers as several forms in terms of the Catalan–Qi function, find some analytic properties, including the monotonicity, logarithmic convexity, complete monotonicity, and minimality, of the Fuss–Catalan numbers, and derive a double inequality for bounding the Fuss–Catalan numbers.

Keywords: Fuss–Catalan number; Catalan–Qi function; Catalan number; monotonicity; logarithmic convexity; complete monotonicity; minimality; inequality (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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