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Polynômes Orthogonaux et Applications pp 36–62Cite as

Classical orthogonal polynomials

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1171))

Abstract

There have been a number of definitions of the classical orthogonal polynomials, but each definition has left out some important orthogonal polynomials which have enough nice properties to justify including them in the category of classical orthogonal polynomials. We summarize some of the previous work on classical orthogonal polynomials, state our definition, and give a few new orthogonality relations for some of the classical orthogonal polynomials.

Supported in part by NSF grant MCS-8201733

Supported in part by NSF grant DMS-840071.

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Authors and Affiliations

  1. University of Wisconsin-Madison, Pennsylvania State University, USA

    George E. Andrews & Richard Askey

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  1. George E. Andrews
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  2. Richard Askey
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Claude Brezinski André Draux Alphonse P. Magnus Pascal Maroni André Ronveaux

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© 1985 Springer-Verlag

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Andrews, G.E., Askey, R. (1985). Classical orthogonal polynomials. In: Brezinski, C., Draux, A., Magnus, A.P., Maroni, P., Ronveaux, A. (eds) Polynômes Orthogonaux et Applications. Lecture Notes in Mathematics, vol 1171. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076530

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  • DOI: https://doi.org/10.1007/BFb0076530

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