The corresponding article has been published in Trans. Amer. Math. Soc. 305 (1988), 431-465.

Christian Krattenthaler

Operator methods and Lagrange inversion: A unified approach to Lagrange formulas

Abstract. We present a general method of proving Lagrange inversion formulas and give new proofs of the s-variable Lagrange-Good formula [13] and the q-Lagrange formulas of Garsia [7], Gessel [10], Gessel and Stanton [11, 12] and the author [18]. We also give some q-analogues of the Lagrange formula in several variables.

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