Geodesic
More statistics on permutation pairs
The electronic journal of combinatorics, Tome 1 (1994)

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Zbl EuDML
Two inversion formulas for enumerating words in the free monoid by $\theta$-adjacencies are applied in counting pairs of permutations by various statistics. The generating functions obtained involve refinements of bibasic Bessel functions. We further extend the results to finite sequences of permutations.
DOI : 10.37236/1191
Classification : 05A15, 05A05, 33D99
Mots-clés : inversion formulas, enumerating words, pairs of permutations, statistics, generating functions, bibasic Bessel functions, finite sequences of permutations 
Jean-Marc Fedou; Don Rawlings. More statistics on permutation pairs. The electronic journal of combinatorics, Tome 1 (1994). doi: 10.37236/1191
@article{10_37236_1191,
     author = {Jean-Marc Fedou and Don Rawlings},
     title = {More statistics on permutation pairs},
     journal = {The electronic journal of combinatorics},
     year = {1994},
     volume = {1},
     doi = {10.37236/1191},
     zbl = {0814.05005},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/1191/}
}
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