Eulerian Calculus, IV: Specializations
Séminaire lotharingien de combinatoire, Tome 32 (1994)

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Further excedance and descent statistics can be defined on each rearragement class and their generating functions explicitly calculated. Those generating functions coincide with the classical ones when the rearrangement class is a permutation group, but differ as soon as the class involves repeated elements.

@article{SLC_1994_32_a1,
     author = {Robert J. Clarke and Dominique Foata},
     title = {Eulerian {Calculus,} {IV:} {Specializations}},
     journal = {S\'eminaire lotharingien de combinatoire},
     publisher = {mathdoc},
     volume = {32},
     year = {1994},
     url = {http://geodesic.mathdoc.fr/item/SLC_1994_32_a1/}
}
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Robert J. Clarke; Dominique Foata. Eulerian Calculus, IV: Specializations. Séminaire lotharingien de combinatoire, Tome 32 (1994). http://geodesic.mathdoc.fr/item/SLC_1994_32_a1/