Complex Zeros of Algebraic Polynomial with Non-Zero Mean Random Coefficients

K. Farahmand () and A. Grigorash ()
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K. Farahmand: University of Ulster at Jordanstown

Journal of Theoretical Probability, 1999, vol. 12, issue 4, 1037-1044

Abstract: Abstract In this paper we obtain a formula for the average density of the distribution of complex zeros of an algebraic polynomial with random coefficients. The coefficients are assumed independent identical normally distributed random variables with mean μ and variance σ2. The value of the average density for the case of μ=0 and σ2=1 was obtained previously. Some limits of the distribution of the complex zeros are provided using the presented formula.

Keywords: Number of complex zeros; real roots; complex roots; random algebraic polynomials; Jacobian of transformation (search for similar items in EconPapers)
Date: 1999
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DOI: 10.1023/A:1021697221011

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