Séminaire Lotharingien de Combinatoire, B20d (1988), 15 pp.
[Formerly: Publ. I.R.M.A. Strasbourg, 1988, 372/S-20, p. 23-38.]

Jiang Zeng

La ß-extension de la formule d'inversion de Lagrange à plusieurs variables

Abstract. We show that Gessel's combinatorial proof of the multivariable Lagrange inversion formula can be given a ß-extension, which generalizes Foata and Zeilberger's ß-extension of MacMahon's Master Theorem. Moreover, we show that there is no need to use Jacobi's identity in the derivation of the Lagrange formula. Finally, combining Gessel's method and ours we obtain a new proof of Jacobi's identity.


The paper has appeared as:
Jiang Zeng, La ß-extension de la formule d'inversion de Lagrange à plusieurs variables, Studies in Appl. Math. 84 (1991), 167-182.