Expected density of complex roots of random polynomials

Authors
Farahmand, K Grigorash, A
Citation
K. Farahmand et A. Grigorash, Expected density of complex roots of random polynomials, NONLIN ANAL, 47(5), 2001, pp. 3103-3112
Citations number
5
Categorie Soggetti
Mathematics
Journal title
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
ISSN journal
0362546X → ACNP
Volume
47
Issue
5
Year of publication
2001
Part
5
Pages
3103 - 3112
Database
ISI
SICI code
0362-546X(200108)47:5<3103:EDOCRO>2.0.ZU;2-8
Abstract
We describe in detail a method to study the asymptotics of the expected den sity of complex roots of random polynomials with normal coefficients. We pr esent results about random algebraic and hyperbolic polynomials achieved wi th this method.