Preprint Article Version 1 This version not peer reviewed

Some Properties of the Fuss–Catalan Numbers

Version 1 : Received: 13 August 2017 / Approved: 15 August 2017 / Online: 15 August 2017 (08:36:23 CEST)

How to cite: Qi, F.; Cerone, P. Some Properties of the Fuss–Catalan Numbers. Preprints 2017, 2017080056 (doi: 10.20944/preprints201708.0056.v1). Qi, F.; Cerone, P. Some Properties of the Fuss–Catalan Numbers. Preprints 2017, 2017080056 (doi: 10.20944/preprints201708.0056.v1).

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.

Subject Areas

expression; analytic property; Fuss–Catalan number; Catalan–Qi function; Catalan number; monotonicity; logarithmic convexity; complete monotonicity; minimality; inequality

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