A bijective proof of Garsia’s \(q\)-Lagrange inversion theorem. (English) Zbl 0905.05085

Singer, Dan W.

Electron. J. Comb. 5, Research paper R26, 34 p. (1998); printed version J. Comb. 5, 375-408 (1998).

The author uses two sign-reversing, weight-preserving involutions on Catalan trees to prove the \(q\)-Lagrange inversion theorem published by A. M. Garsia in [Houston J. Math. 7, 205-237 (1981; Zbl 0481.05006)].

Reviewer: D.M.Bressoud (St.Paul)

MSC:

05E99	Algebraic combinatorics
05A17	Combinatorial aspects of partitions of integers

Keywords:

involutions; Catalan trees; \(q\)-Lagrange inversion theorem

Citations:

Zbl 0481.05006