ON THE LOCATION OF THE ZEROS OF A POLYNOMIAL

The classical Enestom-Kekeya Theorem states that a polynomial p(z) = SIGMA(v = 0)n a(v)z(v) satisfying 0 < a0 less-than-or-equal-to a1 less-than-or-equal-to ... less-than-or-equal-to a(n) has all its zeros in Absolute value of z less-than-or-equal-to 1. We extend this result to a larger class of polynomials by dropping the conditions that the coefficients be real and positive and weakening the hypothesis that coefficients be monotonic increasing. Our result generalizes and sharpens several known results. (C) 1994 Academic Press, Inc.