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Some properties of the Schröder numbers

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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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Author information

Authors and Affiliations

  1. Institute of Mathematics, Henan Polytechnic University, Jiaozuo City, Henan Province, 454010, China

    Feng Qi

  2. College of Mathematics, Inner Mongolia University for Nationalities, Tongliao City, Inner Mongolia Autonomous Region, 028043, China

    Feng Qi

  3. Department of Mathematics, College of Science, Tianjin Polytechnic University, Tianjin City, 300387, China

    Xiao-Ting Shi

  4. School of Mathematics and Informatics, Henan Polytechnic University, Jiaozuo City, Henan Province, 454010, China

    Bai-Ni Guo

Authors
  1. Feng Qi
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  2. Xiao-Ting Shi
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  3. Bai-Ni Guo
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Correspondence to Feng Qi.

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Qi, F., Shi, XT. & Guo, BN. Some properties of the Schröder numbers. Indian J Pure Appl Math 47, 717–732 (2016). https://doi.org/10.1007/s13226-016-0211-6

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  • DOI: https://doi.org/10.1007/s13226-016-0211-6

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