Some properties of the Schröder numbers

Feng Qi (), Xiao-Ting Shi () and Bai-Ni Guo ()
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Feng Qi: Henan Polytechnic University
Xiao-Ting Shi: Tianjin Polytechnic University
Bai-Ni Guo: Henan Polytechnic University

Indian Journal of Pure and Applied Mathematics, 2016, vol. 47, issue 4, 717-732

Abstract: Abstract In the paper, the authors present some properties, including convexity, complete monotonicity, product inequalities, and determinantal inequalities, of the large Schröder numbers and find three relations between the Schröder numbers and central Delannoy numbers. Moreover, the authors sketch generalizing the Schröder numbers and central Delannoy numbers and their generating functions.

Keywords: Large Schröder number; little Schröder numbers; convexity; complete monotonicity; product inequality; determinantal inequality; relation; Delannoy number; generating function; generalization (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s13226-016-0211-6

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