Apply the theorem in Sec. 22 to verify that each of these functions is entire: (a) f
Question:
(a) f (z) = 3x + y + i(3y − x);
(b) f (z) = sin x cosh y + i cos x sinh y;
(c) f (z) = e−y sin x − ie−y cos x;
(d) f (z) = (z2 − 2)e−x e−iy.
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a Is entire since u x 3 v y and u y 1 v x b Is entire since u x cos x cos h y v y ...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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