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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6210 • Real Analysis

2000 • Question 7

Question

Math 6210 • Real Analysis 2000 • Question 7

Determine the number of zeroes of the polynomial \[ z^5+z^3/3+z^2/4+z/3 \] in the region \(1/2<|z|<1\).

Raw LaTeX

Determine the number of zeroes of the polynomial
\[
z^5+z^3/3+z^2/4+z/3
\]
in the region \(1/2<|z|<1\).

Topic Tags

Zeros of Holomorphic Functions and the Identity Theorem