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A note on the complex roots of complex random polynomials

Author

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  • Ramponi, A.

Abstract

By using the technique proposed in Ibragimov and Zeitouni, [(1997), 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 coefficients and its correspondence with the early Hammersley result is shown.

Suggested Citation

  • Ramponi, A., 1999. "A note on the complex roots of complex random polynomials," Statistics & Probability Letters, Elsevier, vol. 44(2), pages 181-187, August.
    • Handle: RePEc:eee:stapro:v:44:y:1999:i:2:p:181-187
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    Cited by:

    1. K. Farahmand, 2003. "Exceedence Measure of Classes of Algebraic Polynomials," Journal of Theoretical Probability, Springer, vol. 16(2), pages 419-426, April.
    2. Farahmand, K. & Stretch, C.T., 2008. "Algebraic polynomials with random non-symmetric coefficients," Statistics & Probability Letters, Elsevier, vol. 78(11), pages 1305-1313, August.

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