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Find Laurent's expansion for the function f (z) = ' (z-2)(z+2) (z+1)(z+4) valid in the following regions. (①) |리 <1 (i) 1<|z| < 4 (iii) |z| > 4

Find Laurent's expansion for the function f (z) = ' (z-2)(z+2) (z+1)(z+4) valid in the following regions. (①) |리 <1 (i) 1<|z| < 4 (iii) |z| > 4

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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Find Laurent's expansion for the function f (z) = · (z-2)(z+2) (b) following regions. (z+1)(z+4) valid in the (i) ]z| < 1 (ii) 1< ]z| < 4 (iii) |z| > 4
Transcribed Image Text:Find Laurent's expansion for the function f (z) = · (z-2)(z+2) (b) following regions. (z+1)(z+4) valid in the (i) ]z| < 1 (ii) 1< ]z| < 4 (iii) |z| > 4
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