Some properties of the Schröder numbers |
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Authors: | Feng Qi Xiao-Ting Shi Bai-Ni Guo |
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Institution: | 1.Institute of Mathematics,Henan Polytechnic University,Jiaozuo City, Henan Province,China;2.College of Mathematics,Inner Mongolia University for Nationalities,Tongliao City, Inner Mongolia Autonomous Region,China;3.Department of Mathematics, College of Science,Tianjin Polytechnic University,Tianjin City,China;4.School of Mathematics and Informatics,Henan Polytechnic University,Jiaozuo City, Henan Province,China |
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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. |
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