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Some limit properties for the coefficients of the q-Catalan numbers

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Abstract

In the paper, some limit properties, such as, moderate deviation principle and law of large numbers, for the coefficients of the q-Catalan numbers and the generalized q-Catalan numbers are obtained.

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Authors and Affiliations

  1. Business School, University of Shanghai for Science and Technology, Shanghai, 200093, China

    Zikai Wu

  2. College of Mathematics and Information Science, Henan Normal University, Henan Province, 453007, China

    Hongxia Du

Authors
  1. Zikai Wu
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  2. Hongxia Du
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Correspondence to Zikai Wu.

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Wu, Z., Du, H. Some limit properties for the coefficients of the q-Catalan numbers. Indian J Pure Appl Math 45, 469–478 (2014). https://doi.org/10.1007/s13226-014-0075-6

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  • DOI: https://doi.org/10.1007/s13226-014-0075-6

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