{ "id": "math/9908141", "version": "v1", "published": "1999-08-27T19:45:40.000Z", "updated": "1999-08-27T19:45:40.000Z", "title": "The search for differential equations for orthogonal polynomials by using computers", "authors": [ "Roelof Koekoek" ], "comment": "24 pages", "categories": [ "math.CA" ], "abstract": "We look for spectral type differential equations for the generalized Jacobi polynomials found by T.H. Koornwinder in 1984 and for the Sobolev-Laguerre polynomials. We introduce a method which makes use of computeralgebra packages like Maple and Mathematica and we will give some preliminary results.", "revisions": [ { "version": "v1", "updated": "1999-08-27T19:45:40.000Z" } ], "analyses": { "subjects": [ "33C45", "34A35" ], "keywords": [ "orthogonal polynomials", "spectral type differential equations", "generalized jacobi polynomials", "sobolev-laguerre polynomials", "computeralgebra packages" ], "note": { "typesetting": "TeX", "pages": 24, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "1999math......8141K" } } }