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Rodrigues type formula for orthogonal polynomials on the unit ball
Author(s):
Yuan
Xu
Journal:
Proc. Amer. Math. Soc.
133
(2005),
1965-1976.
MSC (2000):
Primary 33C50, 42C10
Posted:
February 24, 2005
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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.
References:
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Additional Information:
Yuan
Xu
Affiliation:
Department of Mathematics, University of Oregon, Eugene, Oregon 97403-1222
Email:
yuan@math.uoregon.edu
DOI:
10.1090/S0002-9939-05-07885-8
PII:
S 0002-9939(05)07885-8
Keywords:
Orthogonal polynomials on a unit ball,
Rodrigues type formula,
biorthogonal polynomials,
reflection invariant weight function
Received by editor(s):
February 13, 2003
Posted:
February 24, 2005
Additional Notes:
This work was partially supported by the National Science Foundation under Grant DMS-0201669
Communicated by:
Jonathan M. Borwein
Copyright of article:
Copyright
2005,
American Mathematical Society
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