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Suppose g has a Laurent expansion o -1) ₂²-(-2) ³ as → 0. 9(2) = Σa,2³, j=-1 valid on a punctured disc D'(0) for some r> 0. Show that there exists a complex number a EC such that 121 21 g(z) 1/2 a 0

Suppose g has a Laurent expansion o -1) ₂²-(-2) ³ as → 0. 9(2) = Σa,2³, j=-1 valid on a punctured disc D'(0) for some r> 0. Show that there exists a complex number a EC such that 121 21 g(z) 1/2 a 0

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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(b) Suppose g has a Laurent expansion 2 (-1) 2₂²-1-2) ³. j=0 as 20. g(z) = Σ anal, j=-1 valid on a punctured disc D,(0) for some r> 0. Show that there exists a complex number a EC such that g(z) 1/2 </ a 0
Transcribed Image Text:(b) Suppose g has a Laurent expansion 2 (-1) 2₂²-1-2) ³. j=0 as 20. g(z) = Σ anal, j=-1 valid on a punctured disc D,(0) for some r> 0. Show that there exists a complex number a EC such that g(z) 1/2 </ a 0
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