A note on the complex roots of complex random polynomials

Statistics and Probability Letters

Volumn 44, Issue 2, 1999, Pages 181-187

  Ramponi, A ^a  

^a CNR   (Italy)

Author keywords

Complex roots; Multivariate normal distribution; Random polynomials

Indexed keywords

EID: 0000719220     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0167-7152(99)00007-3     Document Type: Article

References (10)

1. Adler, R.J., 1981. The Geometry of Random Fields. Wiley, New York.
2. Bharucha-Reid, A.T., Sambandham, M., 1986. Random Polynomials. Academic Press, New York.
3. Dunnage J.E.A. The number of real zeros of a class of random algebraic polynomials. Proc. London Math. Soc. 18:1968;439-460.
4. Farahmand K. Complex roots of random algebraic polynomial. J. Math. Anal. Appl. 210:1997;724-730.
5. Graybill, F.A., 1969. Introduction to Matrices with Applications in Statistics. Wadsworth, Belmont, CA.
6. Hammersley, J.M., 1956. The zeros of a random polynomials. Proceedings of the Third Berkley Symposium on Probability and Statistics, vol. II, pp. 89-111.
7. Ibragimov I.A., Zeitouni O. On the roots of random polynomials. Trans. Amer. Math. Soc. 349:1997;2427-2441.
8. Kac M. On the average number of real roots of a random algebraic equation. Bull. Amer. Math. Soc. 18:1943;29-35.
9. Littlewood J., Offord A. On the number of real roots of a random algebraic equation. J. London Math. Soc. 13:1938;288-295.
10. Shepp L.A., Vanderbej R.J. The complex zeros of random polynomials. Trans. Amer. Math. Soc. 347:1995;4365-4384.