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The q-Catalan Numbers: A Saddle Point Approach

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Abstract

Using the saddle point method, we obtain from the generating function of the q-Catalan numbers and Cauchy’s integral formula asymptotic results in central and non-central regions.

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Authors and Affiliations

  1. Département d’Informatique, Université Libre de Bruxelles, CP 212, Boulevard du Triomphe, 1050, Bruxelles, Belgium

    Guy Louchard

  2. Department of Mathematical Sciences, University of Stellenbosch, Private Bag X1, Matieland, 7602, Stellenbosch, South Africa

    Helmut Prodinger

Authors
  1. Guy Louchard
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  2. Helmut Prodinger
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Correspondence to Guy Louchard.

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Louchard, G., Prodinger, H. The q-Catalan Numbers: A Saddle Point Approach. Ann. Comb. 15, 313–329 (2011). https://doi.org/10.1007/s00026-011-0097-2

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  • DOI: https://doi.org/10.1007/s00026-011-0097-2

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