Suppose that f (z) = x2 y2 2y + i(2x 2xy), where z = x + iy.

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Suppose that f (z) = x2 ˆ’ y2 ˆ’ 2y + i(2x ˆ’ 2xy), where z = x + iy. Use the expressions (see Sec. 5)
Suppose that f (z) = x2 ˆ’ y2 ˆ’ 2y

to write f(z) in terms of z, and simplify the result.

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Complex Variables and Applications

ISBN: 978-0073051949

8th edition

Authors: James Brown, Ruel Churchill

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