Let f he a function which is analytic inside and on a
Chapter 0, Problem 7.42(choose chapter or problem)
Let f he a function which is analytic inside and on a positively oriented simple closed contour C. and suppose that f (:.) is never zero on C. Let the image of C under the transformation 11 = f(:.) he the closed contour r shown in Fig. 114. Determine the value of ~c arg /(:.) from that figure: and. with the aid of the theorem in Sec. 93. determine the number of zeros. counting multiplicities. off interior to C. Ans. 6;r: 3.
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