{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,16]],"date-time":"2026-03-16T14:34:45Z","timestamp":1773671685029,"version":"3.50.1"},"reference-count":16,"publisher":"American Mathematical Society (AMS)","license":[{"start":{"date-parts":[[2024,1,30]],"date-time":"2024-01-30T00:00:00Z","timestamp":1706572800000},"content-version":"am","delay-in-days":365,"URL":"https:\/\/www.ams.org\/publications\/copyright-and-permissions"}],"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"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Proc. Amer. Math. Soc."],"abstract":"<p>\n                    We give positive answer to two conjectures posed by M. E. H Ismail in his monograph [\n                    <italic>Classical and quantum orthogonal polynomials in one variable<\/italic>\n                    , Cambridge University Press, Cambridge, 2005]. These results generalize the classical problems of Sonine and Hahn.\n                  <\/p>","DOI":"10.1090\/proc\/16250","type":"journal-article","created":{"date-parts":[[2023,1,30]],"date-time":"2023-01-30T16:12:46Z","timestamp":1675095166000},"source":"Crossref","is-referenced-by-count":3,"title":["Proof of two conjectures on Askey-Wilson polynomials"],"prefix":"10.1090","author":[{"given":"K.","family":"Castillo","sequence":"first","affiliation":[]},{"given":"D.","family":"Mbouna","sequence":"additional","affiliation":[]}],"member":"14","published-online":{"date-parts":[[2023,1,30]]},"reference":[{"key":"1","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/978-94-009-0501-6_1","article-title":"Characterization theorems for orthogonal polynomials","author":"Al-Salam, W. 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Petronilho, Classical orthogonal polynomials revisited,  arXiv:2110.00401 [math.CA], 2021."},{"issue":"1","key":"5","doi-asserted-by":"publisher","first-page":"101","DOI":"10.1007\/BF01181087","article-title":"\u00dcber h\u00f6here Ableitungen von Orthogonalpolynomen","volume":"43","author":"Hahn, Wolfgang","year":"1938","journal-title":"Math. Z.","ISSN":"https:\/\/id.crossref.org\/issn\/0025-5874","issn-type":"print"},{"issue":"1","key":"6","doi-asserted-by":"publisher","first-page":"634","DOI":"10.1007\/BF01201380","article-title":"\u00dcber die Jacobischen Polynome und zwei verwandte Polynomklassen","volume":"39","author":"Hahn, Wolfgang","year":"1935","journal-title":"Math. 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Soc.","ISSN":"https:\/\/id.crossref.org\/issn\/0304-9914","issn-type":"print"},{"key":"13","series-title":"Encyclopedia of Mathematics and its Applications","isbn-type":"print","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9781107325982","volume-title":"Classical and quantum orthogonal polynomials in one variable","volume":"98","author":"Ismail, Mourad E. H.","year":"2005","ISBN":"https:\/\/id.crossref.org\/isbn\/9780521782012"},{"issue":"6","key":"14","doi-asserted-by":"publisher","first-page":"2465","DOI":"10.1090\/proc\/14317","article-title":"A characterization of Askey-Wilson polynomials","volume":"147","author":"Kenfack Nangho, Maurice","year":"2019","journal-title":"Proc. Amer. Math. Soc.","ISSN":"https:\/\/id.crossref.org\/issn\/0002-9939","issn-type":"print"},{"key":"15","unstructured":"P. Lesky, Eine Charakterisierung der klassischen kontinuierlichen, diskreten und q-Orthogonalpolynome, Shaker, Aachen, 2005."},{"key":"16","unstructured":"N. Ja Sonine, \u00dcber die angen\u00e4herte Berechnung der bestimmten Integrale und \u00fcber die dabei vorkommenden ganzen Functionen, Warsaw Univ. Izv 18 (1887), 1\u201376."}],"container-title":["Proceedings of the American Mathematical Society"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.ams.org\/proc\/0000-000-00\/S0002-9939-2023-16250-4\/proc16250_AM.pdf","content-type":"application\/pdf","content-version":"am","intended-application":"syndication"},{"URL":"https:\/\/www.ams.org\/proc\/0000-000-00\/S0002-9939-2023-16250-4\/S0002-9939-2023-16250-4.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,3,16]],"date-time":"2026-03-16T13:25:27Z","timestamp":1773667527000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.ams.org\/proc\/2023-151-04\/S0002-9939-2023-16250-4\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,1,30]]},"references-count":16,"alternative-id":["S0002-9939-2023-16250-4"],"URL":"https:\/\/doi.org\/10.1090\/proc\/16250","archive":["CLOCKSS","Portico"],"relation":{},"ISSN":["0002-9939","1088-6826"],"issn-type":[{"value":"0002-9939","type":"print"},{"value":"1088-6826","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,1,30]]}}}