Submitted:
13 August 2017
Posted:
15 August 2017
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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:
expression
; analytic property
; Fuss–Catalan number
; Catalan–Qi function
; Catalan number
; monotonicity
; logarithmic convexity
; complete monotonicity
; minimality
; inequality
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