Algebraic polynomials with random non-symmetric coefficients

K. Farahmand and C.T. Stretch

Statistics & Probability Letters, 2008, vol. 78, issue 11, 1305-1313

Abstract: This paper provides an asymptotic formula for the expected number of zeros of a polynomial of the form for large n. The coefficients are assumed to be a sequence of independent normally distributed random variables with fixed mean [mu] and variance one. It is shown that for [mu] non-zero this expected number is half of that for [mu]=0. This behavior is similar to that of classical random algebraic polynomials but differs from that of random trigonometric polynomials.

Date: 2008
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