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Consider the function f(z)= If you were to find the Laurent series centered at z = i (3-2)(z²-1) converging in the largest annulus r

Consider the function f(z)= If you were to find the Laurent series centered at z = i (3-2)(z²-1) converging in the largest annulus r

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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4. Consider the function f(z)= e² If you were to find the Laurent series centered at z = i (3-z)(z²-1) converging in the largest annulus r<z-i < R including the point z = 2, then what are r and R?
Transcribed Image Text:4. Consider the function f(z)= e² If you were to find the Laurent series centered at z = i (3-z)(z²-1) converging in the largest annulus r<z-i < R including the point z = 2, then what are r and R?
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1-i<z-i<3-i 12+(-1)2<z-i<32+(-1)2 2<z-i<10

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