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Inversion formulas involving orthogonal polynomials and some of their applications

Roelof Koekoek

Published 1999-08-30Version 1

We derive inversion formulas involving orthogonal polynomials which can be used to find coefficients of differential equations satisfied by certain generalizations of the classical orthogonal polynomials. As an example we consider special symmetric generalizations of the Hermite polynomials.

Comments: 15 pages, submitted for publication in the Proceedings of the International Workshop on Special Functions (Asymptotics, Harmonic Analysis and Mathematical Physics), City University of Hong Kong, Kowloon, Hong Kong, June 21-25, 1999
Journal: Special Functions. Proceedings of the International Workshop (City University of Hong Kong, 1999), World Scientific, Singapore, 2000, 166-180.
Categories: math.CA
Subjects: 33C45
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