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Laurent's series was given by bị b2 f(z) = ao + a1(z – 20) + a2(z – 2o)² + (z – 20) (z – z0)? Prove that the values of a,n and bn are f(2)dz 2mi Sc (z – z0)n+1' 1 1 f(z)dz An bn 2ni Jc (z – z0)-n+1

Laurent's series was given by bị b2 f(z) = ao + a1(z – 20) + a2(z – 2o)² + (z – 20) (z – z0)? Prove that the values of a,n and bn are f(2)dz 2mi Sc (z – z0)n+1' 1 1 f(z)dz An bn 2ni Jc (z – z0)-n+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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Laurent's series was given by bị b2 f(z) = ao + a1(z – 20) + a2(z – 2o)² + (z – 20) (z – z0)? Prove that the values of a,n and bn are f(2)dz 2mi Sc (z – z0)n+1' 1 1 f(z)dz An bn 2ni Jc (z – z0)-n+1
Transcribed Image Text:Laurent's series was given by bị b2 f(z) = ao + a1(z – 20) + a2(z – 2o)² + (z – 20) (z – z0)? Prove that the values of a,n and bn are f(2)dz 2mi Sc (z – z0)n+1' 1 1 f(z)dz An bn 2ni Jc (z – z0)-n+1
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