A bijective proof of infinite variated good′s inversion

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Abstract

We use the theory of colored species to prove the plethystic Lagrange inversion formula and infinite variated Good′s inversion formula. These inversion formulas are shown to be equivalent to transfer formulas in the infinite variated umbral calculus. © 1994 Academic Press, Inc. All rights reserved.

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Ehrenborg, R., & Mendez, M. (1994). A bijective proof of infinite variated good′s inversion. Advances in Mathematics, 103(2), 221–259. https://doi.org/10.1006/aima.1994.1011

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