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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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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