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.
Ramponi, A. (1999). A note on the complex roots of complex random polynomials. STATISTICS & PROBABILITY LETTERS, 44(2), 181-187 [10.1016/S0167-7152(99)00007-3].
A note on the complex roots of complex random polynomials
RAMPONI, ALESSANDRO
1999-01-01
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.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
