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Some properties of the Schröder numbers

Author

Listed:
  • Feng Qi

    (Henan Polytechnic University
    Inner Mongolia University for Nationalities)

  • Xiao-Ting Shi

    (Tianjin Polytechnic University)

  • Bai-Ni Guo

    (Henan Polytechnic University)

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.

Suggested Citation

  • Feng Qi & Xiao-Ting Shi & Bai-Ni Guo, 2016. "Some properties of the Schröder numbers," Indian Journal of Pure and Applied Mathematics, Springer, vol. 47(4), pages 717-732, December.
    • Handle: RePEc:spr:indpam:v:47:y:2016:i:4:d:10.1007_s13226-016-0211-6
    DOI: 10.1007/s13226-016-0211-6
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    Cited by:

    1. Feng Qi & Xiao-Ting Shi & Bai-Ni Guo, 2018. "Integral Representations of the Large and Little Schröder Numbers," Indian Journal of Pure and Applied Mathematics, Springer, vol. 49(1), pages 23-38, March.

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