English

Th\'eorie G\'eom\'etrique des Polyn\^omes Eul\'eriens

Combinatorics 2007-05-23 v1

Abstract

This is the classical monograph on the combinatorial study of Eulerian polynomials, published in 1970. It 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 49 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 exceedances 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

Keywords

Cite

@article{arxiv.math/0508232,
  title  = {Th\'eorie G\'eom\'etrique des Polyn\^omes Eul\'eriens},
  author = {Dominique Foata and Marcel-Paul Schützenberger},
  journal= {arXiv preprint arXiv:math/0508232},
  year   = {2007}
}

Comments

Plain-TeX; 49 pages

R2 v1 2026-07-22T17:23:02.121Z