Bayraktar, Turgay (2018) Expected number of real roots for random linear combinations of orthogonal polynomials associated with radial weights. Potential Analysis, 48 (4). pp. 459-471. ISSN 0926-2601 (Print) 1572-929X (Online)
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Official URL: http://dx.doi.org/10.1007/s11118-017-9643-9
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 L-2-space 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 > QA299.6-433 Analysis Q Science > QA Mathematics > QA273-280 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]
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