Expected density of complex zeros of random hyperbolic polynomials

There are many known asymptotic estimates for the expected number of real zeros of polynomial H n ( z) = η 1 cosh ζ z + η 2 cosh 2ζ z + ⋯ + η n cosh nζ z, where η j , j = 1, 2, 3, …, n is a sequence of independent random variables. This paper provides the asymptotic formula for the expected density...

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Bibliographic Details
Published in:	Applied mathematics letters Vol. 15; no. 4; pp. 389 - 393
Main Authors:	Farahmand, K., Grigorash, A.
Format:	Journal Article
Language:	English
Published:	Oxford Elsevier Ltd 01.05.2002 Elsevier
Subjects:	Adler's theorem Complex roots Coordinate transform Density of zeros Exact sciences and technology Jacobian of transformation Mathematics Number of complex zeros Random algebraic polynomials Random hyperbolic polynomials Random trigonometric polynomials Real roots Sciences and techniques of general use Density of zeros Real roots Adler's theorem Random hyperbolic polynomials Random algebraic polynomials Coordinate transform Complex roots Random trigonometric polynomials Jacobian of transformation Number of complex zeros
ISSN:	0893-9659, 1873-5452
Online Access:	Get full text
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