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Integral Representations of the Large and Little Schröder Numbers

Author

Listed:
  • Feng Qi

    (Henan Polytechnic University
    Inner Mongolia University for Nationalities
    Tianjin Polytechnic University)

  • Xiao-Ting Shi

    (Secondary School
    Tianjin Polytechnic University)

  • Bai-Ni Guo

    (Henan Polytechnic University)

Abstract

In the paper, the authors establish several integral representations for the generating functions of the large and little Schröder numbers and for the large and little Schröder numbers.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:indpam:v:49:y:2018:i:1:d:10.1007_s13226-018-0258-7
    DOI: 10.1007/s13226-018-0258-7
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    References listed on IDEAS

    as
    1. Feng Qi & Bai-Ni Guo, 2017. "Integral Representations of the Catalan Numbers and Their Applications," Mathematics, MDPI, vol. 5(3), pages 1-31, August.
    2. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Waleed Mohamed Abd-Elhameed & Amr Kamel Amin, 2023. "Novel Formulas of Schröder Polynomials and Their Related Numbers," Mathematics, MDPI, vol. 11(2), pages 1-23, January.
    2. Wathek Chammam, 2019. "Several formulas and identities related to Catalan-Qi and q-Catalan-Qi numbers," Indian Journal of Pure and Applied Mathematics, Springer, vol. 50(4), pages 1039-1048, December.

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    1. Jian Cao & Wen-Hui Li & Da-Wei Niu & Feng Qi & Jiao-Lian Zhao, 2023. "A Brief Survey and an Analytic Generalization of the Catalan Numbers and Their Integral Representations," Mathematics, MDPI, vol. 11(8), pages 1-16, April.
    2. Wathek Chammam, 2019. "Several formulas and identities related to Catalan-Qi and q-Catalan-Qi numbers," Indian Journal of Pure and Applied Mathematics, Springer, vol. 50(4), pages 1039-1048, December.

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