Complex zeros of algebraic polynomial with non-zero mean random coefficients

Citation
K. Farahmand et A. Grigorash, Complex zeros of algebraic polynomial with non-zero mean random coefficients, J THEOR PR, 12(4), 1999, pp. 1037-1044
Citations number
10
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF THEORETICAL PROBABILITY
ISSN journal
08949840 → ACNP
Volume
12
Issue
4
Year of publication
1999
Pages
1037 - 1044
Database
ISI
SICI code
0894-9840(199910)12:4<1037:CZOAPW>2.0.ZU;2-D
Abstract
In this paper we obtain a formula for the average density of the distributi on of complex zeros of an algebraic polynomial with random coefficients. Th e coefficients are assumed independent identical normally distributed rando m variables with mean mu and variance sigma(2). The Value of the average de nsity for the case of mu = 0 and sigma(2) = 1 was obtained previously. Some limits of the distribution of the complex zeros are provided using the pre sented formula.