z² - 2z +3 EX 7: Find the Laurent series of f (z) = in the region of |z-1>1. z -2

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Find the Laurent series (EX7)

中央大學通訊系 張大中,
Complex Analysis: Unit-3
55
EX 7: Find the Laurent series of f (z) =
z2 - 2z +3
in the region of |z-1>1.
Sol:
z-2
%3D
(2-1)-1
2-2
%3D
Z-2z+3%3D12-
f(z)-[(2-1)7
2]
50(3-1)1
Transcribed Image Text:中央大學通訊系 張大中, Complex Analysis: Unit-3 55 EX 7: Find the Laurent series of f (z) = z2 - 2z +3 in the region of |z-1>1. Sol: z-2 %3D (2-1)-1 2-2 %3D Z-2z+3%3D12- f(z)-[(2-1)7 2] 50(3-1)1
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