Use the theorem in Sec. 23 to show that each of these functions is differentiable in the
Question:
(a) f (z) = 1/z4 (z ≠ 0);
(b) f (z) = √reiθ/2 (r > 0, α < θ < α + 2π);
(c) f (z) = e−θ cos(ln r) + ie−θ sin(ln r) (r > 0, 0 < θ < 2π).
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a Since f is analytic in its domain of d...View the full answer
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Related Book For
Complex Variables and Applications
ISBN: 978-0073051949
8th edition
Authors: James Brown, Ruel Churchill
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