A bijective proof of Garsia's \(q\)-Lagrange inversion theorem
The electronic journal of combinatorics, Tome 5 (1998)
A $q$-Lagrange inversion theorem due to A. M. Garsia is proved by means of two sign-reversing, weight-preserving involutions on Catalan trees.
DOI :
10.37236/1364
Classification :
05E99, 05A17
Mots-clés : involutions, Catalan trees, \(q\)-Lagrange inversion theorem
Mots-clés : involutions, Catalan trees, \(q\)-Lagrange inversion theorem
@article{10_37236_1364,
author = {Dan W. Singer},
title = {A bijective proof of {Garsia's} {\(q\)-Lagrange} inversion theorem},
journal = {The electronic journal of combinatorics},
year = {1998},
volume = {5},
doi = {10.37236/1364},
zbl = {0905.05085},
url = {http://geodesic.mathdoc.fr/articles/10.37236/1364/}
}
Dan W. Singer. A bijective proof of Garsia's \(q\)-Lagrange inversion theorem. The electronic journal of combinatorics, Tome 5 (1998). doi: 10.37236/1364
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