Extrema of Random Algebraic Polynomials with Non-Identically Distributed Normal Coefficients

An asymptotic estimate is derived for the expected number of extrema of a polynomial a(0) + a(1)((n)(1))(1/2)x + a(2)((n)(2))(1/2)x(2) + ... + a(n)((n)(n))(1/2)x(n) whose independent normal coefficients possess non-equal non-zero mean values. A result is presented that generalizes in terms of normal processes the analytical device used for construction of similar asymptotic estimates for random polynomials with normal coefficients.