Bulletin of the
Korean Mathematical Society BKMS

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.

Keywords: reciprocal polynomials, convex combination, zeros, poly-nomials

MSC numbers: Primary 30C15; Secondary 26C10