Show that (a) log e 1 2ni (n 0,1,2, ) (b) log I (2n ) i (n 0, 1, 2, ) (c) log ( 1 3i) ln 2 2(n 1 3) i (n 0, 1, 2, ) ...

Show that (a) log e = 1 + 2ni (n = 0,1,2, . . .); (b) log

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Show that
(a) log e = 1 + 2nπi (n = 0,±1,±2, . . .);
(b) log I = (2n + ½) πi (n = 0, ±1, ±2, ...);
(c) log (- 1 + √3i)} = ln 2 + 2(n + 1/3) πi (n = 0, ±1, ±2, ...).

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Complex Variables and Applications

ISBN: 978-0073051949

8th edition

Authors: James Brown, Ruel Churchill

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Question Posted: Jun 01, 2016 01:39 AM

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Show that (a) log e = 1 + 2ni (n = 0,1,2, . . .); (b) log

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Complex Variables and Applications

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