{ "id": "2003.01676", "version": "v1", "published": "2020-03-03T18:02:51.000Z", "updated": "2020-03-03T18:02:51.000Z", "title": "Hankel determinants of linear combinations of moments of orthogonal polynomials", "authors": [ "Johann Cigler", "Christian Krattenthaler" ], "comment": "28 pages, AmS-TeX", "categories": [ "math.CO" ], "abstract": "We prove evaluations of Hankel determinants of linear combinations of moments of orthogonal polynomials (or, equivalently, of generating functions for Motzkin paths), thus generalising known results for Catalan numbers.", "revisions": [ { "version": "v1", "updated": "2020-03-03T18:02:51.000Z" } ], "analyses": { "subjects": [ "05A19", "05A10", "05A15", "11C20", "15A15" ], "keywords": [ "linear combinations", "orthogonal polynomials", "hankel determinants", "motzkin paths" ], "note": { "typesetting": "AMS-TeX", "pages": 28, "language": "en", "license": "arXiv", "status": "editable" } } }