Show that 1-1 zi dz = 1 + e-/2 (1 - i), where the integrand denotes the
Question:
∫1-1 zi dz = 1 + e-π/2 (1 - i),
where the integrand denotes the principal branch
zi = exp(i Log z) (|z| > 0,−π < Arg z < π)
of zi and where the path of integration is any contour from z = −1 to z = 1 that, except for its end points, lies above the real axis. (Compare with Exercise 7, Sec. 42.)
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Let C denote any contour from z 1 to z 1 that except for its end points lies above the ...View the full answer
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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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