Geodesic
Basic calculus of signed permutations. II: Finite analogues of Bessel functions
The electronic journal of combinatorics, The Wilf Festschrift volume, Tome 4 (1997) no. 2
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The traditional basic calculus on permutation statistic distributions is extended to the case of signed permutations. This provides with a combinatorial interpretation of the basic Bessel functions and their finite analogues. Le calcul basique classique sur les distributions des statistiques des permutations est prolongé au cas des permutations signées. Ce calcul permet ainsi de donner une interprétation combinatoire aux fonctions basiques de Bessel et à leurs analogues finis.
DOI : 10.37236/1324
Classification : 05A15, 05A05
Mots-clés : permutation statistic distributions, signed permutations, Bessel functions 
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     author = {Dominique Foata and Guo-Niu Han},
     title = {Basic calculus of signed permutations. {II:} {Finite} analogues of {Bessel} functions},
     journal = {The electronic journal of combinatorics},
     year = {1997},
     volume = {4},
     number = {2},
     doi = {10.37236/1324},
     zbl = {0885.05009},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/1324/}
}
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Dominique Foata; Guo-Niu Han. Basic calculus of signed permutations. II: Finite analogues of Bessel functions. The electronic journal of combinatorics, The Wilf Festschrift volume, Tome 4 (1997) no. 2. doi: 10.37236/1324

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