On Schur-Szego composition of polynomials

Details On Schur-Szego composition of polynomials On Schur-Szego composition of polynomials

2006-05-15

arxiv.org/abs/math/0605377v1

Mathematics

Classical Analysis and ODEs

6 pages, no figures

Scientific paper

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.

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