{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,8]],"date-time":"2025-09-08T06:40:59Z","timestamp":1757313659219,"version":"3.41.2"},"reference-count":3,"publisher":"AIP Publishing","issue":"3","funder":[{"DOI":"10.13039\/501100007474","name":"Centro de Matem\u00e1tica, Universidade de Coimbra","doi-asserted-by":"publisher","award":["UIDB\/00324\/2020"],"award-info":[{"award-number":["UIDB\/00324\/2020"]}],"id":[{"id":"10.13039\/501100007474","id-type":"DOI","asserted-by":"publisher"}]},{"name":"ERDF and Consejer\u00eda de Econom\u00eda, Conocimiento, Empresas y Universidad de la Junta de Andaluc\u00eda","award":["UAL18-FQM-B025-A"],"award-info":[{"award-number":["UAL18-FQM-B025-A"]}]},{"name":"Campus of International Excellence CEIMAR","award":["FQM-0229"],"award-info":[{"award-number":["FQM-0229"]}]}],"content-domain":{"domain":["pubs.aip.org"],"crossmark-restriction":true},"short-container-title":[],"published-print":{"date-parts":[[2024,3,1]]},"abstract":"<jats:p>In an earlier work [K. Castillo et al., J. Math. Anal. Appl. 514, 126358 (2022)], we give positive answer to the first, and apparently more easy, part of a conjecture of M. Ismail concerning the characterization of the continuous q-Jacobi polynomials, Al-Salam-Chihara polynomials or special or limiting cases of them. In this note we present an example that disproves the second part of such a conjecture, and so this issue is definitively closed.<\/jats:p>","DOI":"10.1063\/5.0174053","type":"journal-article","created":{"date-parts":[[2024,3,25]],"date-time":"2024-03-25T15:32:56Z","timestamp":1711380776000},"update-policy":"https:\/\/doi.org\/10.1063\/aip-crossmark-policy-page","source":"Crossref","is-referenced-by-count":3,"title":["A counterexample to a conjecture of M. Ismail"],"prefix":"10.1063","volume":"65","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-4803-8182","authenticated-orcid":false,"given":"K.","family":"Castillo","sequence":"first","affiliation":[{"name":"CMUC, Department of Mathematics, University of Coimbra 1 , 3000-143 Coimbra, Portugal"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0869-6263","authenticated-orcid":false,"given":"D.","family":"Mbouna","sequence":"additional","affiliation":[{"name":"Institute of Mathematics of the University of Seville (IMUS) 2 , Edificio Celestino Mutis-CITUS II, Av. de la Reina Mercedes, s\/n, 41012 Seville, Spain"}]}],"member":"317","published-online":{"date-parts":[[2024,3,25]]},"reference":[{"key":"2024032515325420800_c1","doi-asserted-by":"publisher","first-page":"126358","DOI":"10.1016\/j.jmaa.2022.126358","article-title":"A characterization of continuous q-Jacobi, Chebyshev of the first kind and Al-Salam Chihara polynomials","volume":"514","year":"2022","journal-title":"J. Math. Anal. Appl."},{"key":"2024032515325420800_c2","doi-asserted-by":"publisher","first-page":"126390","DOI":"10.1016\/j.jmaa.2022.126390","article-title":"On the functional equation for classical orthogonal polynomials on lattices","volume":"515","year":"2022","journal-title":"J. Math. Anal. Appl."},{"volume-title":"Classical and Quantum Orthogonal Polynomials in One Variable","year":"2005","key":"2024032515325420800_c3"}],"container-title":["Journal of Mathematical Physics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/pubs.aip.org\/aip\/jmp\/article-pdf\/doi\/10.1063\/5.0174053\/19844960\/033507_1_5.0174053.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"syndication"},{"URL":"https:\/\/pubs.aip.org\/aip\/jmp\/article-pdf\/doi\/10.1063\/5.0174053\/19844960\/033507_1_5.0174053.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,3,25]],"date-time":"2024-03-25T15:33:04Z","timestamp":1711380784000},"score":1,"resource":{"primary":{"URL":"https:\/\/pubs.aip.org\/jmp\/article\/65\/3\/033507\/3278867\/A-counterexample-to-a-conjecture-of-M-Ismail"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,3,1]]},"references-count":3,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2024,3,1]]}},"URL":"https:\/\/doi.org\/10.1063\/5.0174053","relation":{},"ISSN":["0022-2488","1089-7658"],"issn-type":[{"type":"print","value":"0022-2488"},{"type":"electronic","value":"1089-7658"}],"subject":[],"published-other":{"date-parts":[[2024,3,1]]},"published":{"date-parts":[[2024,3,1]]},"article-number":"033507"}}