2z+1 2 a.) f(z) = b.) g(z) = = z² + 16 x²+2x+5 c.) h(z) = cosh(z) - 1 z3 d.) j(z) = Log(z) (z − 1)³ -

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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For the following functions, list all singularities that are poles, deter 
mine their order, and compute the residues for each. 

 

2z+1
2
a.) f(z) =
b.) g(z) =
=
z² + 16
x²+2x+5
c.) h(z) =
cosh(z) - 1
z3
d.) j(z)
=
Log(z)
(z − 1)³
-
Transcribed Image Text:2z+1 2 a.) f(z) = b.) g(z) = = z² + 16 x²+2x+5 c.) h(z) = cosh(z) - 1 z3 d.) j(z) = Log(z) (z − 1)³ -
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