An asymptotic expansion for the expected number of real zeros of a random polynomial

Author:
J. Ernest Wilkins

Journal:
Proc. Amer. Math. Soc. **103** (1988), 1249-1258

MSC:
Primary 60G99

DOI:
https://doi.org/10.1090/S0002-9939-1988-0955018-1

MathSciNet review:
955018

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Abstract | References | Similar Articles | Additional Information

Abstract: Let be the expected number of real zeros of a polynomial of degree whose coefficients are independent random variables, normally distributed with mean 0 and variance 1. We find an asymptotic expansion for of the form

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DOI:
https://doi.org/10.1090/S0002-9939-1988-0955018-1

Article copyright:
© Copyright 1988
American Mathematical Society