Using the results proved in Exercise 8, locate all zeros and singularities of the hyperbolic tangent function.
Question:
(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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Related Book For
Complex Variables and Applications
ISBN: 978-0073051949
8th edition
Authors: James Brown, Ruel Churchill
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