Some limit properties for the coefficients of the q-Catalan numbers
Zikai Wu () and
Hongxia Du ()
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Zikai Wu: University of Shanghai for Science and Technology
Hongxia Du: Henan Normal University
Indian Journal of Pure and Applied Mathematics, 2014, vol. 45, issue 4, 469-478
Abstract:
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.
Keywords: Bernoulli number; q-Catalan number; moment generating function; moderate deviation principle; law of large numbers (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/s13226-014-0075-6
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