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3nj-Coefficients and Orthogonal Polynomials of Hypergeometric Type

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Orthogonal Polynomials and Special Functions

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

Abstract

We give a self-contained introduction to the theory of 3nj -coefficients of \( \mathfrak{s}\mathfrak{u} \)(2) and \( \mathfrak{s}\mathfrak{u} \)(1, 1), their hypergeometric expressions, and their relations to orthogonal polynomials. The 3nj -coefficients of \( \mathfrak{s}\mathfrak{u} \)(2) play a crucial role in various physical applications (dealing with the quantization of angular momentum), but here we shall deal with their mathematical importance only.

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Author information

Authors and Affiliations

  1. Department of Applied Mathematics and Computer Science, Ghent University, Krijgslaan 281-S9, B-9000, Gent, Belgium

    Joris Van der Jeugt

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  1. Joris Van der Jeugt
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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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Van der Jeugt, J. (2003). 3nj-Coefficients and Orthogonal Polynomials of Hypergeometric Type. 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_2

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  • DOI: https://doi.org/10.1007/3-540-44945-0_2

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  • Print ISBN: 978-3-540-40375-3

  • Online ISBN: 978-3-540-44945-4

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