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Shifted Hankel determinants of Catalan numbers and related results

Combinatorics 2021-05-04 v1

Abstract

In this (partly expository) paper we give a short overview about the close relationship between the sequence of Catalan numbers and Hankel determinants from the point of view of orthogonal polynomials and show that an analogous situation exists for more general sequences.

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Cite

@article{arxiv.2105.00660,
  title  = {Shifted Hankel determinants of Catalan numbers and related results},
  author = {Johann Cigler},
  journal= {arXiv preprint arXiv:2105.00660},
  year   = {2021}
}

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18 pages