Find the residue at z = 0 of the function (a) 1 / z + z2; (b)

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Find the residue at z = 0 of the function
(a) 1 / z + z2;
(b) z cos (1/z);
(c) z - sin z / z;
(d) cot z / z4;
(e) sinh z / z4 (1 - z2)

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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 01:43 AM

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Find the residue at z = 0 of the function (a) 1 / z + z2; (b)

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a Let us write The residue at z 0 which is the coefficient of 1z is clearly 1 ...View the full answer

Complex Variables and Applications

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