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

Author

Listed:
  • K. Farahmand

    (University of Ulster at Jordanstown)

  • A. Grigorash

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.

Suggested Citation

  • K. Farahmand & A. Grigorash, 1999. "Complex Zeros of Algebraic Polynomial with Non-Zero Mean Random Coefficients," Journal of Theoretical Probability, Springer, vol. 12(4), pages 1037-1044, October.
    • Handle: RePEc:spr:jotpro:v:12:y:1999:i:4:d:10.1023_a:1021697221011
    DOI: 10.1023/A:1021697221011
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