2006/05/15 by Vladimir Petrov Kostov, Boris Shapiro, Kostov, V. +1
Mathematics · #12D10 #Advanced Mathematical Identities #Analytic Number Theory Research #Classical Analysis and ODEs (math.CA) #Combinatorics (math.CO) #FOS: Mathematics #Meromorphic and Entire Functions
paper · pdf · doi:10.48550/arxiv.math/0605377
openalex publication_date 2006/05/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.