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Identities in Combinatorics. II: A q-Analog of the Lagrange Inversion Theorem

George E. Andrews
Proceedings of the American Mathematical Society
Vol. 53, No. 1 (Nov., 1975), pp. 240-245
DOI: 10.2307/2040407
Stable URL: http://www.jstor.org/stable/2040407
Page Count: 6
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Identities in Combinatorics. II: A q-Analog of the Lagrange Inversion Theorem
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Abstract

A q-analog of Lagrange's inversion theorem is obtained. It is applied to give a new proof of an expansion theorem due to Carlitz and to obtain formulae for certain combinatorial numbers studied by Carlitz.

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