𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Random polynomials with complex coefficients

✍ Scribed by K. Farahmand

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
379 KB
Volume
27
Category
Article
ISSN
0167-7152

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Complex Zeros of Trigonometric Polynomia
Complex Zeros of Trigonometric Polynomials with Standard Normal Random Coefficients
✍ K. Farahmand; A. Grigorash πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 94 KB

In this paper, we obtain an exact formula for the average density of the distribution of complex zeros of a random trigonometric polynomial , where the coefficients Ξ· j = a j + ΞΉb j , and a j n j=1 and b j n j=1 are sequences of independent normally distributed random variables with mean 0 and vari

A structural fatigue design by using ran
A structural fatigue design by using random polynomials with wave coefficients
✍ S. Rezakhah; A.R. Soltani πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 283 KB

Fatigue is considered as a primary model of failure for metallic structures or mechanical devices subjected to oscillatory stress processes. In this paper we consider certain random polynomials as the underlying stress processes, and recommend the evaluations of fatigue indices. Let \(Q_{n}(x)=\sum_

A note on the complex roots of complex r
A note on the complex roots of complex random polynomials
✍ A. Ramponi πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 96 KB

## By using the technique proposed in ), Trans. Amer. Math. Soc. 349, 2427 -2441] , we derive an exact formula for the mean number of complex roots of a complex random polynomial. The explicit evaluation of the average density is obtained in the case of multivariate normal coe cients and its co

On polynomials with integer coefficients
On polynomials with integer coefficients
✍ Hiroshi Gunji; Donald L McQuillan πŸ“‚ Article πŸ“… 1969 πŸ› Elsevier Science 🌐 English βš– 331 KB