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

Krattenthaler, Ch.

doi:10.1090/S0002-9947-1988-0924765-4

Operator methods and Lagrange inversion: a unified approach to Lagrange formulas
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by Ch. Krattenthaler

Trans. Amer. Math. Soc. 305 (1988), 431-465

DOI: https://doi.org/10.1090/S0002-9947-1988-0924765-4

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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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