Need help describing this problem:
Let f(z) = z + 1/z. Describe the images of both the circle |z| = r or radius r (r ≠ 0) and the ray arg z = θ0 under f in terms of well known curves.
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Need help describing this problem:
Let f(z) = z + 1/z. Describe the images of both the circle |z| = r or radius r (r ≠ 0) and the ray arg z = θ0 under f in terms of well known curves.
Express the circle in the form, the ray in the form
and substitute.