Consider the entire function f given by the power series f(2)= for all z E C. Let C be the circle centered at with radius 1. 1/1/201 (a) Evaluate (b) Evaluate C (2) COS(T2) 2-1 (z − 1)² dz. dz. ∞ 71=0 3n+1 (n+2)! (²-1)",
Consider the entire function f given by the power series f(2)= for all z E C. Let C be the circle centered at with radius 1. 1/1/201 (a) Evaluate (b) Evaluate C (2) COS(T2) 2-1 (z − 1)² dz. dz. ∞ 71=0 3n+1 (n+2)! (²-1)",
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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Question
Transcribed Image Text:3n+1
2. Consider the entire function f given by the power series f(z) = [(n+2)!
for all z E C. Let C be the circle centered at with radius 1.
1/1/201
(a) Evaluate
2-1
f(z) cos(z)
Jo
[ (z − 1)²
(b) Evaluate
dz.
∞
f(z) cos(TZ) dz.
(z-1)",
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