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Let f(2) = E (z-(a+1))" n(B+2)" (n+2)² · %3D n=1 i) ii) Find the region where the function f(z) is analytic. Find f(4) (a + 1). If C is the positively oriented circle |z – (a + 1)| = 1. Evaluate iii f(z) dz. (z-(a+1))³

Let f(2) = E (z-(a+1))" n(B+2)" (n+2)² · %3D n=1 i) ii) Find the region where the function f(z) is analytic. Find f(4) (a + 1). If C is the positively oriented circle |z – (a + 1)| = 1. Evaluate iii f(z) dz. (z-(a+1))³

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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(z-(a+1))" Let f(z) = L n(ß+2)" (n+2)² n(B+2)" (n+2)² · n=1 i) ii) iii Find the region where the function f(z) is analytic. Find f(4) (a+ 1). If C is the positively oriented circle |2 – (a + 1)| = 1. Evaluate f(z) dz. I (z-(a+1))³
Transcribed Image Text:(z-(a+1))" Let f(z) = L n(ß+2)" (n+2)² n(B+2)" (n+2)² · n=1 i) ii) iii Find the region where the function f(z) is analytic. Find f(4) (a+ 1). If C is the positively oriented circle |2 – (a + 1)| = 1. Evaluate f(z) dz. I (z-(a+1))³
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