Some properties of the Catalan-Qi function related to the Catalan numbers.
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ABSTRACT:
SUBMITTER: Qi F
PROVIDER: S-EPMC4951397 | biostudies-other | 2016
REPOSITORIES: biostudies-other
Publications
Some properties of the Catalan-Qi function related to the Catalan numbers.
Qi Feng F Mahmoud Mansour M Shi Xiao-Ting XT Liu Fang-Fang FF
SpringerPlus 20160719 1
In the paper, the authors find some properties of the Catalan numbers, the Catalan function, and the Catalan-Qi function which is a generalization of the Catalan numbers. Concretely speaking, the authors present a new expression, asymptotic expansions, integral representations, logarithmic convexity, complete monotonicity, minimality, logarithmically complete monotonicity, a generating function, and inequalities of the Catalan numbers, the Catalan function, and the Catalan-Qi function. As by-pro ...[more]
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