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2. Let C be an open (upper) semicircle of radius R with its center at the origin, and consider J f(z) dz. Let f(z) 1/(z²+B²) with B as defined above. Show that %3D | f(z) | s 1/(R? - a?) with R > a, and | S f(z) dz | s TR/(R? - a?) where R > a

2. Let C be an open (upper) semicircle of radius R with its center at the origin, and consider J f(z) dz. Let f(z) 1/(z²+B²) with B as defined above. Show that %3D | f(z) | s 1/(R? - a?) with R > a, and | S f(z) dz | s TR/(R? - a?) where R > a

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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2. Let C be an open (upper) semicircle of radius R with its center at the origin, and consider f(z) dz. Let f(z) = 1/(z²+B?) with B as defined above. Show that | f(z) | s 1/(R? - a?) with R > a, and | S f(z) dz | s tR/(R? - a?) where R > a A=20 B=10 C=10 D=64
Transcribed Image Text:2. Let C be an open (upper) semicircle of radius R with its center at the origin, and consider f(z) dz. Let f(z) = 1/(z²+B?) with B as defined above. Show that | f(z) | s 1/(R? - a?) with R > a, and | S f(z) dz | s tR/(R? - a?) where R > a A=20 B=10 C=10 D=64
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