{ "id": "2303.13680", "version": "v1", "published": "2023-03-23T21:27:49.000Z", "updated": "2023-03-23T21:27:49.000Z", "title": "Special values for continuous $q$-Jacobi polynomials", "authors": [ "Howard S. Cohl", "Roberto S. Costas-Santos" ], "categories": [ "math.CA" ], "abstract": "We study special values for the continuous $q$-Jacobi polynomials and present applications of these special values which arise from bilinear generating functions, and in particular the Poisson kernel for these polynomials.", "revisions": [ { "version": "v1", "updated": "2023-03-23T21:27:49.000Z" } ], "analyses": { "keywords": [ "jacobi polynomials", "study special values", "continuous", "bilinear generating functions" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }