Lecture Notes in Mathematics, 138, Berlin, Springer-Verlag,
1970
Dominique Foata and M.-P. Schützenberger
Théorie géométrique des polynômes
Eulériens
Abstract. This monograph, published in 1970, has been retyped
in TeX and made available on the web with the kind permission of
Springer-Verlag. This on-line version has an ouput of 50 pages.
Written in French it contains the following items:
-
0. Introduction to and review of the Euler Numbers
- 1. General properties of the systems of excedances and rises
- 2. The Eulerian polynomials
- 3. The exponential formula
- 4. Generating functions for the Eulerian polynomials
- 5. The alternating sums A(n)(-1) and
B(n)(-1)
- 6. References
Dominique Foata, December 2005
foata a t math dot u - strasbg dot fr
The following versions are available: