{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,21]],"date-time":"2026-04-21T14:56:21Z","timestamp":1776783381409,"version":"3.51.2"},"reference-count":24,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[1994,3,1]],"date-time":"1994-03-01T00:00:00Z","timestamp":762480000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Acta Appl Math"],"published-print":{"date-parts":[[1994,3]]},"DOI":"10.1007\/bf00998681","type":"journal-article","created":{"date-parts":[[2005,1,19]],"date-time":"2005-01-19T06:01:57Z","timestamp":1106114517000},"page":"283-303","source":"Crossref","is-referenced-by-count":108,"title":["Classical orthogonal polynomials: A functional approach"],"prefix":"10.1007","volume":"34","author":[{"given":"F.","family":"Marcell\ufffdn","sequence":"first","affiliation":[]},{"given":"A.","family":"Branquinho","sequence":"additional","affiliation":[]},{"given":"J.","family":"Petronilho","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"CR1","first-page":"27","volume":"2","author":"J. Aczel","year":"1959","unstructured":"Aczel, J.: Sur l'equation dif\u00e9rentielle des polyn\u00f4mes orthogonaux classiques,Ann. Univ. Sci. Budapest 2 (1959), 27?29.","journal-title":"Ann. Univ. Sci. Budapest"},{"key":"CR2","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/978-94-009-0501-6_1","volume-title":"Orthogonal Polynomials: Theory and Practice","author":"W. Al Salam","year":"1990","unstructured":"Al Salam, W.: Characterization theorems for orthogonal polynomials, in P. Nevai (ed.),Orthogonal Polynomials: Theory and Practice, Kluwer Academic Publishers, Dordrecht, 1990, pp. 1?24."},{"issue":"1","key":"CR3","doi-asserted-by":"crossref","first-page":"65","DOI":"10.1137\/0503007","volume":"3","author":"W. Al Salam","year":"1972","unstructured":"Al Salam, W. and Chihara, T. S.: Another characterization of the classical orthogonal polynomials,SIAM J. Math. Anal. 3(1) (1972), 65?70.","journal-title":"SIAM J. Math. Anal."},{"key":"CR4","doi-asserted-by":"crossref","unstructured":"Belmehdi, S.: On some Appell polynomials related to Rodrigues formula,J. Comput. Appl. Math. 49(1?3) (1993). In press.","DOI":"10.1016\/0377-0427(93)90129-Y"},{"key":"CR5","doi-asserted-by":"crossref","first-page":"730","DOI":"10.1007\/BF01180560","volume":"29","author":"S. Bochner","year":"1929","unstructured":"Bochner, S.: \u00dcber Sturm-Liouvillesche Polynomsysteme,Math. Z. 29 (1929), 730?736.","journal-title":"Math. Z."},{"key":"CR6","volume-title":"An Introduction to Orthogonal Polynomials","author":"T. S. Chihara","year":"1978","unstructured":"Chihara, T. S.:An Introduction to Orthogonal Polynomials, Gordon and Breach, New York, 1978."},{"key":"CR7","first-page":"1","volume":"25","author":"C. W. Cryer","year":"1970","unstructured":"Cryer, C. W.: Rodrigues formulas and the classical orthogonal polynomials,Boll., Un. Mat. Ital. (3)25 (1970), 1?11.","journal-title":"Boll., Un. Mat. Ital. (3)"},{"key":"CR8","first-page":"33","volume":"1","author":"A. Csaszar","year":"1958","unstructured":"Csaszar, A.: Sur les polyn\u00f4mes orthogonaux classiques,Ann. Univ. Sci. Budapest 1 (1958), 33?39.","journal-title":"Ann. Univ. Sci. Budapest"},{"key":"CR9","first-page":"215","volume":"4","author":"Ya. L. Geronimus","year":"1940","unstructured":"Geronimus, Ya. L.: On polynomials orthogonal with respect to numerical sequences and on Hahn's theorem,Izv. Akad. Nauk. 4 (1940), 215?228 (in Russian).","journal-title":"Izv. Akad. Nauk."},{"key":"CR10","doi-asserted-by":"crossref","first-page":"634","DOI":"10.1007\/BF01201380","volume":"39","author":"W. Hahn","year":"1935","unstructured":"Hahn, W.: \u00dcber die Jacobischen Polynome und Zwei Verwandte Polynomklassen,Math. Z. 39 (1935), 634?638.","journal-title":"Math. Z."},{"key":"CR11","doi-asserted-by":"crossref","first-page":"101","DOI":"10.1007\/BF01181087","volume":"43","author":"W. Hahn","year":"1937","unstructured":"Hahn, W. \u00dcber h\u00f6here Ableitungen von Orthogonalpolynomen,Math. Z. 43 (1937), 101.","journal-title":"Math. Z."},{"key":"CR12","doi-asserted-by":"crossref","first-page":"436","DOI":"10.1137\/1022087","volume":"22","author":"A. M. Krall","year":"1980","unstructured":"Krall, A. M.: Chebyshev sets of polynomials which satisfy an ordinary differential equation,SIAM Rev. 22 (1980), 436?441.","journal-title":"SIAM Rev."},{"key":"CR13","first-page":"435","volume":"10","author":"A. M. Krall","year":"1986","unstructured":"Krall, A. M. and Littlejohn, L. L.: Orthogonal polynomials and singular Sturm-Liouville systems, I.Rocky Mountain J. Math. 10 (1986), 435?479.","journal-title":"Rocky Mountain J. Math."},{"key":"CR14","doi-asserted-by":"crossref","first-page":"604","DOI":"10.1137\/0509041","volume":"9","author":"A. M. Krall","year":"1978","unstructured":"Krall, A. M. and Morton, R. D.: Distributional weight functions for orthogonal polynomials,SIAM J. Math. Anal. 9 (1978), 604?626.","journal-title":"SIAM J. Math. Anal."},{"key":"CR15","doi-asserted-by":"crossref","first-page":"423","DOI":"10.1090\/S0002-9904-1936-06323-8","volume":"42","author":"H. L. Krall","year":"1936","unstructured":"Krall, H. L.: On derivatives of orthogonal polynomials,Bull. Amer. Math. Soc. 42 (1936), 423?428.","journal-title":"Bull. Amer. Math. Soc."},{"key":"CR16","doi-asserted-by":"crossref","first-page":"867","DOI":"10.1090\/S0002-9904-1936-06451-7","volume":"42","author":"H. L. Krall","year":"1936","unstructured":"Krall, H. L.: On higher derivatives orthogonal polynomials,Bull. Amer. Math. Soc. 42 (1936), 867?870.","journal-title":"Bull. Amer. Math. Soc."},{"key":"CR17","doi-asserted-by":"crossref","first-page":"100","DOI":"10.1090\/S0002-9947-1949-0028473-1","volume":"65","author":"H. L. Krall","year":"1949","unstructured":"Krall, H. L. and Frink, O.: A new class of orthogonal polynomials: The Bessel polynomials,Trans. Amer. Math. Soc. 65 (1949), 100?115.","journal-title":"Trans. Amer. Math. Soc."},{"key":"CR18","unstructured":"Marcellan, F.: Polinomios ortogonales semicl\u00e1sicos: Una aproximacion constructiva, in A Cachafeiro and E. Godoy (eds),Actas V Simposium Polinomios Ortogonales, Vigo (1988), pp. 100?123."},{"key":"CR19","series-title":"Lecture Notes in Math. 1329","doi-asserted-by":"crossref","first-page":"279","DOI":"10.1007\/BFb0083367","volume-title":"Orthogonal Polynomials and Their Applications","author":"P. Maroni","year":"1988","unstructured":"Maroni, P.: Le calcul des formes lin\u00e9aires et les polyn\u00f4mes orthogonaux semiclassiques, in M. Alfaro, J. S. Dehesa, F. J. Marcell\u00e1n, J. L. Rubio de Francia and J. Vinuesa (eds),Orthogonal Polynomials and Their Applications, Lecture Notes in Math. 1329, Springer-Verlag, Berlin, 1988, pp. 279?290."},{"key":"CR20","series-title":"IMACS Ann. Comput. Appl. Math. 9","first-page":"95","volume-title":"Orthogonal Polynomials and Their Applications","author":"P. Maroni","year":"1991","unstructured":"Maroni, P.: Une th\u00e9orie alg\u00e9brique des polyn\u00f4mes orthogonaux. Application aux polyn\u00f4mes orthogonaux semiclassiques, in C. Brezinski, L. Gori, and A. Ronveaux (eds),Orthogonal Polynomials and Their Applications, IMACS Ann. Comput. Appl. Math. 9, Baltzer, Basel, 1991, pp. 95?130."},{"key":"CR21","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4757-1595-8","volume-title":"Special Functions of Mathematical Physics: An Unified Approach","author":"A. F. Nikoforov","year":"1988","unstructured":"Nikoforov, A. F. and Uvarov, V. B.:Special Functions of Mathematical Physics: An Unified Approach., Birkhauser Verlag, Basel, 1988."},{"key":"CR22","doi-asserted-by":"crossref","first-page":"443","DOI":"10.1016\/0022-247X(81)90180-3","volume":"84","author":"R. Rasala","year":"1981","unstructured":"Rasala, R.: The Rodrigues formula and polynomial differential operators,J. Math. Anal. Appl. 84 (1981), 443?482.","journal-title":"J. Math. Anal. Appl."},{"key":"CR23","volume-title":"Amer. Math. Soc. Colloq. Publ. 23","author":"G. Szeg\u00f6","year":"1975","unstructured":"Szeg\u00f6, G.:Orthogonal Polynomials, Amer. Math. Soc. Colloq. Publ. 23, Amer. Math. Soc., Providence. Rhode Island, 1975."},{"key":"CR24","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-88676-8","volume-title":"Vorlesungen \u00fcber Orthogonalreihen","author":"F. Tricomi","year":"1970","unstructured":"Tricomi, F.:Vorlesungen \u00fcber Orthogonalreihen., 2nd edn., Springer-Verlag, Berlin, 1970.","edition":"2nd edn."}],"container-title":["Acta Applicandae Mathematicae"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF00998681.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF00998681\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF00998681","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,4,5]],"date-time":"2020-04-05T10:37:17Z","timestamp":1586083037000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF00998681"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1994,3]]},"references-count":24,"journal-issue":{"issue":"3","published-print":{"date-parts":[[1994,3]]}},"alternative-id":["BF00998681"],"URL":"https:\/\/doi.org\/10.1007\/bf00998681","relation":{},"ISSN":["0167-8019","1572-9036"],"issn-type":[{"value":"0167-8019","type":"print"},{"value":"1572-9036","type":"electronic"}],"subject":[],"published":{"date-parts":[[1994,3]]}}}