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Finite Differences and Orthogonal Polynomials
Authors:Chu  Wenchang
Affiliation:(1) 9 Rue Du Regard, 75006 Paris, France
Abstract:By combining finite differences with symmetric functions, we present an elementary demonstration for the limit relation from Laguerre to Hermite polynomials, proposed by Richard Askey. Another limit relation between these two polynomials will also be established.
Keywords:Hermite polynomial  Laguerre polynomial  limit relation  finite difference  symmetric function
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