@article{acfaafff04e748659c49d7721028ed6e,

title = "Expected Density of Complex Zeros of Random Hyperbolic Polynomials",

author = "AV Grigorash and K Farahmand",

note = "Other Details ------------------------------------ The expected number of real zeros of a hyperbolic polynomial with real random coefficients is known. In this paper for the first time we study the case of complex coefficients. The density of the complex zeros of such a polynomial is obtained. We also highlight how our results can be modified to yield the result for other types of polynomials. We show that the complex zeros of a random hyperbolic polynomial are distributed approximately uniformly along the imaginary axis, as the degree of the polynomial tends to infinity.",

year = "2002",

month = "5",

day = "1",

doi = "10.1016/S0893-9659(01)00148-3",

language = "English",

volume = "15",

pages = "389--393",

journal = "Applied Mathematics Letters",

issn = "0893-9659",

publisher = "Elsevier",

number = "3",

}