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A one-parameter deformation of the noncommutative Lagrange inversion formula

Abstract : We give a one-parameter deformation of the noncommutative Lagrange inversion formula, more precisely, of the formula of Brouder-Frabetti-Krattenthaler for the antipode of the noncommutative Fa ́ di Bruno algebra. Namely, we obtain a closed for- a mula for the antipode of the one-parameter deformation of this Hopf algebra discovered by Foissy.
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https://hal.archives-ouvertes.fr/hal-00825466
Contributor : Jean-Paul Bultel <>
Submitted on : Thursday, May 23, 2013 - 5:02:39 PM
Last modification on : Wednesday, February 26, 2020 - 7:06:06 PM
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  • HAL Id : hal-00825466, version 1

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Jean-Paul Bultel. A one-parameter deformation of the noncommutative Lagrange inversion formula. International Journal of Algebra and Computation, World Scientific Publishing, 2011, pp.1395-1414. ⟨hal-00825466⟩

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