{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,10,23]],"date-time":"2023-10-23T12:23:03Z","timestamp":1698063783582},"reference-count":24,"publisher":"Elsevier BV","issue":"1","license":[{"start":{"date-parts":[[1990,1,1]],"date-time":"1990-01-01T00:00:00Z","timestamp":631152000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2013,7,17]],"date-time":"2013-07-17T00:00:00Z","timestamp":1374019200000},"content-version":"vor","delay-in-days":8598,"URL":"https:\/\/www.elsevier.com\/open-access\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Mathematics"],"published-print":{"date-parts":[[1990,1]]},"DOI":"10.1016\/0012-365x(90)90057-o","type":"journal-article","created":{"date-parts":[[2002,7,26]],"date-time":"2002-07-26T03:43:43Z","timestamp":1027655023000},"page":"77-93","source":"Crossref","is-referenced-by-count":11,"title":["Combinatorial proofs of some limit formulas involving orthogonal polynomials"],"prefix":"10.1016","volume":"79","author":[{"given":"J.","family":"Labelle","sequence":"first","affiliation":[]},{"given":"Y.N.","family":"Yeh","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"issue":"no. 319","key":"10.1016\/0012-365X(90)90057-O_BIB1","doi-asserted-by":"crossref","DOI":"10.1090\/memo\/0319","article-title":"Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials","volume":"Vol. 54","author":"Askey","year":"1985","journal-title":"Memoirs Amer. Math. Soc."},{"key":"10.1016\/0012-365X(90)90057-O_BIB2","doi-asserted-by":"crossref","unstructured":"F. Bergeron, Combinatoire des polyn\u00f4mes orthogonaux classiques: Une approche unifi\u00e9e, Europ. J. Combinat. (to appear).","DOI":"10.1016\/S0195-6698(13)80022-4"},{"key":"10.1016\/0012-365X(90)90057-O_BIB3","series-title":"An Introduction to Orthogonal Polynomials","author":"Chihara","year":"1978"},{"key":"10.1016\/0012-365X(90)90057-O_BIB4","unstructured":"H. D\u00e9coste, q-analogues en th\u00e9orie des esp\u00e8ces, S\u00e9minaire Lotharingien de combinatoire XIV, Burg Feuerstein (Allemagne), Actes du s\u00e9minaire (suppl\u00e9ment) (V. Strehl, \u00e9diteur) pp. 33ndash;49."},{"key":"10.1016\/0012-365X(90)90057-O_BIB5","series-title":"Internat. Congress Math.","article-title":"Combinatoire des identit\u00e9s sur les polyn\u00f4mes orthogonaux","author":"Foata","year":"1983"},{"key":"10.1016\/0012-365X(90)90057-O_BIB6","doi-asserted-by":"crossref","first-page":"305","DOI":"10.1016\/S0195-6698(83)80026-2","article-title":"Mod\u00e8les combinatoires pour les polyn\u00f4mes de Meixner","volume":"4","author":"Foata","year":"1983","journal-title":"Europ. J. Combin."},{"key":"10.1016\/0012-365X(90)90057-O_BIB7","first-page":"47","article-title":"Polyn\u00f4mes de Jacobi, interpr\u00e9tation combinatoire et fonction g\u00e9n\u00e9ratrice","volume":"87","author":"Foata","year":"1983","journal-title":"Proc. Amer. Math. Soc."},{"key":"10.1016\/0012-365X(90)90057-O_BIB8","series-title":"Enumeration and Designs","first-page":"123","article-title":"Combinatorics of the Laguerre polynomials","author":"Foata","year":"1984"},{"key":"10.1016\/0012-365X(90)90057-O_BIB9","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/0001-8708(81)90052-9","article-title":"Une th\u00e9orie combinatoire des s\u00e9ries formelles","volume":"42","author":"Joyal","year":"1981","journal-title":"Adv. in Math."},{"key":"10.1016\/0012-365X(90)90057-O_BIB10","doi-asserted-by":"crossref","first-page":"217","DOI":"10.1016\/0001-8708(81)90041-4","article-title":"Une nouvelle d\u00e9monstration combinatoire des formules d'inversion de Lagrange","volume":"42","author":"Labelle","year":"1981","journal-title":"Adv. in Math."},{"issue":"no 2","key":"10.1016\/0012-365X(90)90057-O_BIB11","doi-asserted-by":"crossref","first-page":"344","DOI":"10.1016\/0022-247X(86)90310-0","article-title":"On combinatorial differential equations","volume":"113","author":"Labelle","year":"1986","journal-title":"J. Math. Anal. Appl."},{"key":"10.1016\/0012-365X(90)90057-O_BIB12","first-page":"59","article-title":"Applications diverses de la th\u00e9orie des esp\u00e8ces de structures","volume":"7","author":"Labelle","year":"1983","journal-title":"Ann. Sci. Math. Qu\u00e9bec"},{"key":"10.1016\/0012-365X(90)90057-O_BIB13","unstructured":"J. Labelle, Tableau d'Askey, in: Polyn\u00f4mes Orthogonaux et Applications, Proc. Bar-le-Duc 1984, (Springer-Verlag Lecture Notes no 1171) XXXVII."},{"key":"10.1016\/0012-365X(90)90057-O_BIB14","doi-asserted-by":"crossref","unstructured":"J. Labelle and Y.N. Yeh, The combinatorics of Laguerre, Charlier and Hermite polynomials, Studies in Applied Mathematics (to appear).","DOI":"10.1002\/sapm198980125"},{"key":"10.1016\/0012-365X(90)90057-O_BIB15","unstructured":"J. Labelle and Y.N. Yeh, A combinatorial model for Hahn polynomials, S\u00e9minaire Lotharingien de combinatoire XVI, Liebfraunberg (France), mars 87, Actes du s\u00e9minaire (D. Foata, \u00e9diteur)."},{"key":"10.1016\/0012-365X(90)90057-O_BIB16","unstructured":"J. Labelle and Y.N. Yeh, Some combinatorics of the classical hypergeometric series, Europ. J. Combinat. (to appear)."},{"key":"10.1016\/0012-365X(90)90057-O_BIB17","doi-asserted-by":"crossref","first-page":"167","DOI":"10.1016\/0012-365X(85)90166-9","article-title":"Jacobi polynomials: combinatorics of the basic identities","volume":"57","author":"Leroux","year":"1985","journal-title":"Discrete Math."},{"key":"10.1016\/0012-365X(90)90057-O_BIB18","series-title":"Special Functions","author":"Rainville","year":"1960"},{"key":"10.1016\/0012-365X(90)90057-O_BIB19","series-title":"An Introduction to Combinatorics","author":"Riordan","year":"1958"},{"key":"10.1016\/0012-365X(90)90057-O_BIB20","author":"Strehl","year":"1982","journal-title":"Contribution to the combinatorics of some families of classical orthogonal polynomials"},{"key":"10.1016\/0012-365X(90)90057-O_BIB21","article-title":"Combinatorics of Jacobi-configurations I: complete oriented matchings","author":"Shrehl","year":"1985","journal-title":"Springer-Verlag Lect. Notes #1234"},{"key":"10.1016\/0012-365X(90)90057-O_BIB22","unstructured":"V. Strehl, Combinatorial aspects of Gegenbauer polynomials, (to appear)."},{"key":"10.1016\/0012-365X(90)90057-O_BIB23","article-title":"Orthogonal Polynomials","volume":"vol. 23","author":"Szego","year":"1975","journal-title":"A.M.S. Colloquium Publications"},{"key":"10.1016\/0012-365X(90)90057-O_BIB24","article-title":"The calculus of virtual species and K-species","author":"Yeh","year":"1985","journal-title":"Springer-Verlag Lect. Notes #1234"}],"container-title":["Discrete Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:0012365X9090057O?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:0012365X9090057O?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,4,13]],"date-time":"2019-04-13T05:51:46Z","timestamp":1555134706000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/0012365X9090057O"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1990,1]]},"references-count":24,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1990,1]]}},"alternative-id":["0012365X9090057O"],"URL":"https:\/\/doi.org\/10.1016\/0012-365x(90)90057-o","relation":{},"ISSN":["0012-365X"],"issn-type":[{"value":"0012-365X","type":"print"}],"subject":[],"published":{"date-parts":[[1990,1]]}}}