Inversion formulas involving orthogonal polynomials and some of their applications

Mathematics – Classical Analysis and ODEs

Scientific paper

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15 pages, submitted for publication in the Proceedings of the International Workshop on Special Functions (Asymptotics, Harmon

Scientific paper

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.

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