A note on the complex roots of complex random polynomials

Alessandro Ramponi

Statistics & Probability Letters, 1999, vol. 44, issue 2, 181-187

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.

Keywords: Random; polynomials; Complex; roots; Multivariate; normal; distribution (search for similar items in EconPapers)
Date: 1999
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Citations: View citations in EconPapers (2)

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