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Some computations of expected number of real zeros of random polynomials

โœ Scribed by D.K. Kahaner


Book ID
107800301
Publisher
Elsevier Science
Year
1974
Tongue
English
Weight
156 KB
Volume
48
Category
Article
ISSN
0022-247X

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The asymptotic estimate of the expected number of real zeros of the random hyperbolic . . , y n (ฯ‰) are independent and normally distributed random variables with mean zero and variance one. We have considered here the case when the random coefficients are dependent and proved that the expected num

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There are many known asymptotic estimates for the expected number of real zeroe of polynomial &(z) = rn coeh CL + ~2 coeh 2(z + . . . +q,,ccehn<z, where qj, j = 1,2,3 ,..., n ie a sequence of independent random variables. This paper provides the asymptotic formula for the expected density of complex