{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,10]],"date-time":"2026-03-10T13:47:51Z","timestamp":1773150471669,"version":"3.50.1"},"reference-count":32,"publisher":"Elsevier BV","issue":"1","license":[{"start":{"date-parts":[[1985,5,1]],"date-time":"1985-05-01T00:00:00Z","timestamp":483753600000},"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":10304,"URL":"https:\/\/www.elsevier.com\/open-access\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Combinatorial Theory, Series A"],"published-print":{"date-parts":[[1985,5]]},"DOI":"10.1016\/0097-3165(85)90083-4","type":"journal-article","created":{"date-parts":[[2004,11,6]],"date-time":"2004-11-06T13:03:10Z","timestamp":1099746190000},"page":"52-82","source":"Crossref","is-referenced-by-count":15,"title":["\u00c9closions combinatoires appliqu\u00e9es \u00e0 l'inversion multidimensionnelle des s\u00e9ries formelles"],"prefix":"10.1016","volume":"39","author":[{"given":"Gilbert","family":"Labelle","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/0097-3165(85)90083-4_BIB1","series-title":"Lectures in Algebraic Geometry","author":"Abhyankar","year":"1974"},{"key":"10.1016\/0097-3165(85)90083-4_BIB2","series-title":"Publicazioni dell'Istituto di Matematica R. Caccioppoli","article-title":"A general umbral calculus II: Infinitely many variables","author":"Barnabei","year":"1982"},{"key":"10.1016\/0097-3165(85)90083-4_BIB3","doi-asserted-by":"crossref","first-page":"287","DOI":"10.1090\/S0273-0979-1982-15032-7","article-title":"The Jacobian conjecture: Reduction of degree and formal expansion of the inverse","volume":"7","author":"Bass","year":"1982","journal-title":"Bull. Amer. Math. Soc. (N.S.)"},{"key":"10.1016\/0097-3165(85)90083-4_BIB4","article-title":"Une syst\u00e9matique de la combinatoire alg\u00e9brique","author":"Bergeron","year":"1985"},{"key":"10.1016\/0097-3165(85)90083-4_BIB5","series-title":"UER de Math\u00e9matiques et informatique","article-title":"Enum\u00e9ration d'arbres et formules d'inversion de s\u00e9ries formelles","author":"Chottin","year":"1979"},{"key":"10.1016\/0097-3165(85)90083-4_BIB6","series-title":"Analyse combinatoire","author":"Comtet","year":"1970"},{"key":"10.1016\/0097-3165(85)90083-4_BIB7","doi-asserted-by":"crossref","first-page":"407","DOI":"10.1016\/S0196-8858(82)80013-4","article-title":"Une approache combinatoire pour l'it\u00e9ration de Newton-Raphson","volume":"3","author":"D\u00e9coste","year":"1982","journal-title":"Adv. in Appl. Math."},{"key":"10.1016\/0097-3165(85)90083-4_BIB8","first-page":"179","article-title":"A new expression for umbral operators and power series inversion","volume":"64","author":"Garsia","year":"1977"},{"issue":"No. 12","key":"10.1016\/0097-3165(85)90083-4_BIB9","doi-asserted-by":"crossref","first-page":"1187","DOI":"10.1080\/00927877808822288","article-title":"Higher dimensional polynomials of binomial type and formal power series inversion","volume":"6","author":"Garsia","year":"1978","journal-title":"Comm. Algebra"},{"key":"10.1016\/0097-3165(85)90083-4_BIB10","series-title":"The Lagrange-Good inversion formula revisited","author":"Garsia","year":"1983"},{"key":"10.1016\/0097-3165(85)90083-4_BIB11","series-title":"A combinatorial proof of the multivariable Lagrange inversion formula","author":"Gessel","year":"1983"},{"key":"10.1016\/0097-3165(85)90083-4_BIB12","doi-asserted-by":"crossref","first-page":"367","DOI":"10.1017\/S0305004100034666","article-title":"Generalization to several variables of Lagrange's expansion, with applications to stochastic processes","volume":"56","author":"Good","year":"1960","journal-title":"Proc. Cambridge Philos Soc."},{"key":"10.1016\/0097-3165(85)90083-4_BIB13","series-title":"Cours d'analyse math\u00e9matique","author":"Goursat","year":"1956"},{"key":"10.1016\/0097-3165(85)90083-4_BIB14","series-title":"Die Lie-Reihen und ihre Anwendungen","author":"Gr\u00f6bner","year":"1967"},{"key":"10.1016\/0097-3165(85)90083-4_BIB15","doi-asserted-by":"crossref","first-page":"129","DOI":"10.1007\/BF01387710","article-title":"\u00dcber die Darstellung von implizit gegebenen Funktionen mittels Lie-Reihen und Verallgemeinerungen der Lagrangeschen Reihe","volume":"66","author":"Gr\u00f6bner","year":"1962","journal-title":"Monatshefte f\u00fcr Mathematik"},{"key":"10.1016\/0097-3165(85)90083-4_BIB16","doi-asserted-by":"crossref","first-page":"218","DOI":"10.1016\/0022-247X(64)90063-0","article-title":"An algebraic proof of the Lagrange-B\u00fcrmann formula","volume":"8","author":"Henrici","year":"1964","journal-title":"J. Math. Anal. Appl."},{"issue":"No. 1","key":"10.1016\/0097-3165(85)90083-4_BIB17","doi-asserted-by":"crossref","first-page":"12","DOI":"10.4153\/CJM-1981-002-2","article-title":"The generalization of Tutte's result for chromatic trees, by lagrangian methods","volume":"33","author":"Jackson","year":"1981","journal-title":"Canad. J. Math."},{"key":"10.1016\/0097-3165(85)90083-4_BIB18","doi-asserted-by":"crossref","first-page":"257","DOI":"10.1515\/crll.1830.6.257","article-title":"De resolutione aequationum per series infinitas","volume":"6","author":"Jacobi","year":"1830","journal-title":"J. Reine Angew. Math."},{"key":"10.1016\/0097-3165(85)90083-4_BIB19","doi-asserted-by":"crossref","first-page":"111","DOI":"10.1080\/03081087808817229","article-title":"Langrange inversion in higher dimension and umbral operators","volume":"6","author":"Joni","year":"1978","journal-title":"Linear and Multilinear Algebra"},{"key":"10.1016\/0097-3165(85)90083-4_BIB20","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\/0097-3165(85)90083-4_BIB21","series-title":"D\u00e9monstrations combinatoires de la formule d'inversion de S. S. Abhyankar","author":"Joyal","year":"1982"},{"issue":"No. 2","key":"10.1016\/0097-3165(85)90083-4_BIB22","doi-asserted-by":"crossref","first-page":"113","DOI":"10.1016\/S0195-6698(80)80047-3","article-title":"Sur l'inversion et l'it\u00e9ration continue des s\u00e9ries formelles","volume":"1","author":"Labelle","year":"1980","journal-title":"J. Eur. Combin."},{"key":"10.1016\/0097-3165(85)90083-4_BIB23","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."},{"key":"10.1016\/0097-3165(85)90083-4_BIB24","first-page":"59","article-title":"Applications diverses de la th\u00e9orie combinatoire des esp\u00e8ces de structures","volume":"7","author":"Labelle","year":"1983","journal-title":"Ann. Sci. Math. Qu\u00e9bec"},{"key":"10.1016\/0097-3165(85)90083-4_BIB25","series-title":"\u00c6uvres","author":"Lagrange","year":"1867"},{"key":"10.1016\/0097-3165(85)90083-4_BIB26","doi-asserted-by":"crossref","first-page":"441","DOI":"10.1090\/S0002-9947-1960-0114765-9","article-title":"Functional composition patterns and power series reversion","volume":"94","author":"Raney","year":"1960","journal-title":"Trans. Amer. Math. Soc."},{"key":"10.1016\/0097-3165(85)90083-4_BIB27","series-title":"Graph Theory and Applications","first-page":"167","article-title":"On the foundations of combinatorial theory","author":"Rota","year":"1970"},{"key":"10.1016\/0097-3165(85)90083-4_BIB28","series-title":"Finite Operator Calculus","author":"Rota","year":"1975"},{"key":"10.1016\/0097-3165(85)90083-4_BIB29","doi-asserted-by":"crossref","first-page":"95","DOI":"10.1016\/0001-8708(78)90087-7","article-title":"The Umbral Calculus","volume":"27","author":"Rota","year":"1978","journal-title":"Adv. in Math."},{"key":"10.1016\/0097-3165(85)90083-4_BIB30","doi-asserted-by":"crossref","first-page":"97","DOI":"10.1016\/0095-8956(75)90040-4","article-title":"On elementary calculus and the Good formula","volume":"18","author":"Tutte","year":"1975","journal-title":"J. Combin. Theory Ser. B"},{"key":"10.1016\/0097-3165(85)90083-4_BIB31","doi-asserted-by":"crossref","first-page":"494","DOI":"10.2307\/2319745","article-title":"Left-continuous random walk and the Lagrange expansion","volume":"82","author":"Wendel","year":"1975","journal-title":"Amer. Math. Monthly"},{"key":"10.1016\/0097-3165(85)90083-4_BIB32","series-title":"A Course in Modern Analysis","author":"Whittaker","year":"1962"}],"container-title":["Journal of Combinatorial Theory, Series A"],"original-title":[],"language":"fr","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:0097316585900834?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:0097316585900834?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,2,2]],"date-time":"2019-02-02T04:24:08Z","timestamp":1549081448000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/0097316585900834"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1985,5]]},"references-count":32,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1985,5]]}},"alternative-id":["0097316585900834"],"URL":"https:\/\/doi.org\/10.1016\/0097-3165(85)90083-4","relation":{},"ISSN":["0097-3165"],"issn-type":[{"value":"0097-3165","type":"print"}],"subject":[],"published":{"date-parts":[[1985,5]]}}}