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3. Find a Laurent series for the given function centered at the given point z, that converges in the specified domain. a) f(z)=z³ez, Zo = 1 b) f(z)=- 3-4z+z² 0, convergent in domain including z = 1 Zo = 0, convergent in domain including z = 2 "

3. Find a Laurent series for the given function centered at the given point z, that converges in the specified domain. a) f(z)=z³ez, Zo = 1 b) f(z)=- 3-4z+z² 0, convergent in domain including z = 1 Zo = 0, convergent in domain including z = 2 "

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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3. Find a Laurent series for the given function centered at the given point z, that converges in the specified domain. a) f(z)=z³e², z₁ = 0, convergent in domain including z = 1 1 b) f(z)=- 3-4z+z²¹ ²₁ = 0, convergent in domain including z = 2
Transcribed Image Text:3. Find a Laurent series for the given function centered at the given point z, that converges in the specified domain. a) f(z)=z³e², z₁ = 0, convergent in domain including z = 1 1 b) f(z)=- 3-4z+z²¹ ²₁ = 0, convergent in domain including z = 2
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