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arxiv: math/9908163 · v1 · submitted 1999-08-30 · 🧮 math.CA

Inversion formulas involving orthogonal polynomials and some of their applications

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keywords polynomialsorthogonalformulasgeneralizationsinversioninvolvingapplicationscertain
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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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