![Grace–Walsh–Szegő theorem Grace–Walsh–Szegő theorem](/modules/owlapps_apps/img/nopic.jpg)
In mathematics, the Grace–Walsh–Szegő coincidence theorem is a result named after John Hilton Grace, Joseph L. Walsh, and Gábor Szegő.
Suppose ƒ(z1, ..., zn) is a polynomial with complex coefficients, and that it is
Let A be a circular region in the complex plane. If either A is convex or the degree of ƒ is n, then for every there exists such that
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