Using the results proved in Exercise 8, locate all zeros and singularities of the hyperbolic tangent function.

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Using the results proved in Exercise 8, locate all zeros and singularities of the hyperbolic tangent function.
(14) sinh z = 0 if and only if z = nπi (n = 0, ±1, ±2, . . .)
(15) cosh z = 0 if and only if z = (π/2 + nπ)I (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 01:40 AM

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Using the results proved in Exercise 8, locate all zeros and singularities of the hyperbolic tangent function.

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Complex Variables and Applications

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