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Noncommutative symmetric Bessel functions

Abstract : The consideration of tensor products of 0-Hecke algebra modules leads to natural analogs of the Bessel J-functions in the algebra of noncommutative symmetric functions. This provides a simple explanation of various combinatorial properties of Bessel functions.
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https://hal-upec-upem.archives-ouvertes.fr/hal-00693568
Contributor : Jean-Christophe Novelli <>
Submitted on : Wednesday, May 2, 2012 - 6:20:49 PM
Last modification on : Wednesday, February 26, 2020 - 7:06:06 PM

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Jean-Christophe Novelli, Jean-Yves Thibon. Noncommutative symmetric Bessel functions. Canadian Mathematical Bulletin, 2008, 51 (3), pp.424-438. ⟨10.4153/CMB-2008-043-3⟩. ⟨hal-00693568⟩

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