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ON ZEROS OF CERTAIN SUMS OF POLYNOMIALS

  • Kim, Seon-Hong (Department of Mathematics, College of Natural Science, Chosun University)
  • Published : 2004.11.01

Abstract

A convex combination of two products with same degree of finitely many finite geometric series with each having even degree does not always have all its zeros on the unit circle. However, in this paper, we show that a polynomial obtained by just adding a finite geometric series multiplied by a large constant to such a convex combination has all its zeros on the unit circle.

References

  1. P. Lakatos, On zeros of reciprocal polynomials, Publ. Math. Debrecen 61 (2002), 645–661