Séminaire Lotharingien de
Combinatoire, 58 (2007), Article B58a
Dominique Foata, Guo-Niu Han
DECREASES AND DESCENTS IN WORDS
Abstract.
The generating function for words by a
multivariable statistic involving decrease, increase, descent and
rise values is explicitly calculated by using the properties of the
first fundamental transformation on words and the MacMahon
Master Theorem in its noncommutative version. Applications to the
calculation of factorial generating functions for the symmetric
groups are also given.
foata at math dot u-strasbg dot fr,
guoniu at math dot u-strasbg dot fr
The following versions are available: