Bayraktar, Turgay (2018) Expected number of real roots for random linear combinations of orthogonal polynomials associated with radial weights. Potential Analysis, 48 (4). pp. 459471. ISSN 09262601 (Print) 1572929X (Online)
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Official URL: http://dx.doi.org/10.1007/s1111801796439
Abstract
In this note, we obtain asymptotic expected number of real zeros for random polynomials of the form
fn(z) = Sigma(n)(j=0) a(j)(n)c(j)(n)z(j)
where a(j)(n) are independent and identically distributed real random variables with bounded (2 + delta)th absolute moment and the deterministic numbers c(j)(n) are normalizing constants for the monomials z(j) within a weighted L2space induced by aradial weight function satisfying suitable smoothness and growth conditions.
Item Type:  Article 

Uncontrolled Keywords:  Expected number of real zeros; Random orthogonal polynomials 
Subjects:  Q Science > QA Mathematics > QA299.6433 Analysis Q Science > QA Mathematics > QA273280 Probabilities. Mathematical statistics 
Divisions:  Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics Faculty of Engineering and Natural Sciences 
Depositing User:  Turgay Bayraktar 
Date Deposited:  31 Jul 2018 10:55 
Last Modified:  16 May 2023 14:49 
URI:  https://research.sabanciuniv.edu/id/eprint/34741 
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Expected number of real roots for random linear combinations of orthogonal polynomials associated with radial weights. (deposited 23 Aug 2017 15:22)
 Expected number of real roots for random linear combinations of orthogonal polynomials associated with radial weights. (deposited 31 Jul 2018 10:55) [Currently Displayed]