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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Combinatorial orthogonal expansions


Authors: A. de Médicis and D. Stanton
Journal: Proc. Amer. Math. Soc. 124 (1996), 469-473
MSC (1991): Primary 42C05, 05E35
MathSciNet review: 1317035
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Abstract: The linearization coefficients for a set of orthogonal polynomials are given explicitly as a weighted sum of combinatorial objects. Positivity theorems of Askey and Szwarc are corollaries of these expansions.


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Additional Information

A. de Médicis
Affiliation: School of Mathematics, University of Minnesota, Minneapolis, Minnesota 55455
Email: medicis@lacim.uqam.ca

D. Stanton
Affiliation: School of Mathematics, University of Minnesota, Minneapolis, Minnesota 55455
Email: stanton@s2.math.umn.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-96-03262-5
PII: S 0002-9939(96)03262-5
Received by editor(s): August 19, 1994
Additional Notes: The first author’s work was supported by NSERC funds.
The second author’s work was supported by NSF grant DMS-9001195.
Communicated by: Jeffry N. Kahn
Article copyright: © Copyright 1996 American Mathematical Society