(a) Suppose that a function f (z) is continuous on a smooth arc C, which has a...
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where Z(Ï) = z[Ï(Ï)].
(b) Point out how it follows that the identity obtained in part (a) remains valid when C is any contour, not necessarily a smooth one, and f (z) is piecewise continuous on C. Thus show that the value of the integral of f (z) along C is the same when the representation z = Z(Ï) (α ¤ Ï ¤ β) is used, instead of the original one.
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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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