English

On Schur-Szego composition of polynomials

Classical Analysis and ODEs 2007-05-23 v1 Combinatorics

Abstract

Schur-Szego composition of polynomials of degree N introduces an interesting semigroup structure on polynomial spaces. In this note we show how it interacts with the stratification of polynomials according to the multiplicity of their zeros and present the induced semigroup structure on the set of all ordered partitions of N.

Keywords

Cite

@article{arxiv.math/0605377,
  title  = {On Schur-Szego composition of polynomials},
  author = {V. Kostov and B. Shapiro},
  journal= {arXiv preprint arXiv:math/0605377},
  year   = {2007}
}

Comments

6 pages, no figures

R2 v1 2026-07-22T17:35:51.670Z