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If f (z) is analytic and f' (z) is continuous at all points inside and on a simple closed curve C, then O fc f (2) dz #0 O fc f(2) dz = 0 O fc f (z) dz = 1 O fe f (2) dz + 1

If f (z) is analytic and f' (z) is continuous at all points inside and on a simple closed curve C, then O fc f (2) dz #0 O fc f(2) dz = 0 O fc f (z) dz = 1 O fe f (2) dz + 1

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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If f (z) is analytic and f' (z) is continuous at all points inside and on a simple closed curve C, then O fc f (2) dz # 0 O fc f (2) dz = 0 O fc f (2) dz = 1 O fc f (2) dz # 1
Transcribed Image Text:If f (z) is analytic and f' (z) is continuous at all points inside and on a simple closed curve C, then O fc f (2) dz # 0 O fc f (2) dz = 0 O fc f (2) dz = 1 O fc f (2) dz # 1
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