{ "id": "math/9908163", "version": "v1", "published": "1999-08-30T13:03:01.000Z", "updated": "1999-08-30T13:03:01.000Z", "title": "Inversion formulas involving orthogonal polynomials and some of their applications", "authors": [ "Roelof Koekoek" ], "comment": "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" ], "abstract": "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.", "revisions": [ { "version": "v1", "updated": "1999-08-30T13:03:01.000Z" } ], "analyses": { "subjects": [ "33C45" ], "keywords": [ "applications", "special symmetric generalizations", "derive inversion formulas", "hermite polynomials", "classical orthogonal polynomials" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 15, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "1999math......8163K" } } }