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Proceedings of the American Mathematical Society
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Proceedings of the American Mathematical Society
Article . 2005 . Peer-reviewed
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Rodrigues type formula for orthogonal polynomials on the unit ball

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 24 Feb 2005 English Publisher:American Mathematical Society (AMS)Journal:Proceedings of the American Mathematical Society, volume 133, pages 1,965-1,976 (issn: 0002-9939, eissn: 1088-6826, Copyright policy )
Authors: Xu, Yuan;

doi: 10.1090/s0002-9939-05-07885-8

Rodrigues type formula for orthogonal polynomials on the unit ball

Abstract

For a class of weight functions invariant under reflection groups on the unit ball, a family of orthogonal polynomials is defined via a Rodrigues type formula using the Dunkl operators. Their properties and their relation with several other bases are explored.

Related Organizations
Keywords

Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
hybrid