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Orthogonal Polynomials and Special Functions pp 137–166Cite as

Enumeration and Special Functions

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1817)

Abstract

These notes for the August 12–16, 2002 Euro Summer School in OPSF at Leuven have three sections with basic introductions to

  1. 1

    Enumeration and q -series

  2. 2

    Enumeration and orthogonal polynomials

  3. 3

    Symmetric functions. No prior exposure to these areas is assumed. Three excellent textbooks for these three topics are [1], [7], and [17]. Several exercises and open problems are given throughout these notes.

Keywords

  • Orthogonal Polynomial
  • Lattice Path
  • Plane Partition
  • Combinatorial Interpretation
  • Ferrers Diagram

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Research partially supported by NSF grant DMS 0203282

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Author information

Authors and Affiliations

  1. School of Mathematics, University of Minnesota, 55455, Minneapolis, Minnesota, USA

    Dennis Stanton

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  1. Dennis Stanton
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Editor information

Editors and Affiliations

  1. Afd.Toegepaste Wiskundige Analyse, EWI-TWA,Technische Universiteit Delft, Postbus 5031, 2600, GA Delft, Netherlands

    Erik Koelink

  2. Departement Wiskunde, Katholieke Universiteit Leuven, Celestijnenlaan 200B, 3001, Leuven, Belgium

    Walter Van Assche

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Stanton, D. (2003). Enumeration and Special Functions. In: Koelink, E., Van Assche, W. (eds) Orthogonal Polynomials and Special Functions. Lecture Notes in Mathematics, vol 1817. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44945-0_4

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  • DOI: https://doi.org/10.1007/3-540-44945-0_4

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