Show that the principal nth root of a nonzero complex number z0 that was defined in Sec.

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Show that the principal nth root of a nonzero complex number z0 that was defined in Sec. 9 is the same as the principal value of z01/n defined by equation (5), Sec. 33.
P.V. zc = ec Log z.
Equation (5) also serves to define the principal branch of the function zc on the domain |z| > 0, −π < Arg z < π.
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Complex Variables and Applications

ISBN: 978-0073051949

8th edition

Authors: James Brown, Ruel Churchill

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