Geodesic
Noncommutative Symmetric Bessel Functions
Canadian mathematical bulletin, Tome 51 (2008) no. 3, pp. 424-438

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DOI

The consideration of tensor products of 0-Hecke algebramodules 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.
DOI : 10.4153/CMB-2008-043-3
Mots-clés : 05E05, 16W30, 05A15 
Novelli, Jean-Christophe; Thibon, Jean-Yves. Noncommutative Symmetric Bessel Functions. Canadian mathematical bulletin, Tome 51 (2008) no. 3, pp. 424-438. doi: 10.4153/CMB-2008-043-3
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     author = {Novelli, Jean-Christophe and Thibon, Jean-Yves},
     title = {Noncommutative {Symmetric} {Bessel} {Functions}},
     journal = {Canadian mathematical bulletin},
     pages = {424--438},
     year = {2008},
     volume = {51},
     number = {3},
     doi = {10.4153/CMB-2008-043-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2008-043-3/}
}
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