Consider the following equations. • Res(f(z), Zo) = _lim (z-zo)f(z) Z-10 1 Res(fiz), z)= • Res(f(z), z)= first pole g(zo) h'(zo) Use the above equations to find the residue at each pole of the given function. pole residue second pole pole f(2)= residue an-1 lim (n-1)!zzo dz" - 1 = [(z-Z₁J²K(z)] z z²+36
Consider the following equations. • Res(f(z), Zo) = _lim (z-zo)f(z) Z-10 1 Res(fiz), z)= • Res(f(z), z)= first pole g(zo) h'(zo) Use the above equations to find the residue at each pole of the given function. pole residue second pole pole f(2)= residue an-1 lim (n-1)!zzo dz" - 1 = [(z-Z₁J²K(z)] z z²+36
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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Question
![Consider the following equations.
• Res(f(z), Zo) = _lim (z-zo)f(z)
Z-10
1
Res(fiz), z)=
• Res(f(z), z)=
first pole
g(zo)
h'(zo)
Use the above equations to find the residue at each pole of the given function.
pole
residue
second pole
pole
f(2)=
residue
an-1
lim
(n-1)!zzo dz" - 1
= [(z-Z₁J²K(z)]
z
z²+36](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4b8502c6-77e6-4ad1-93a4-15893327988c%2Fe0f3c23b-a37d-4144-a3c0-1d7070864123%2Frvgwdut_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the following equations.
• Res(f(z), Zo) = _lim (z-zo)f(z)
Z-10
1
Res(fiz), z)=
• Res(f(z), z)=
first pole
g(zo)
h'(zo)
Use the above equations to find the residue at each pole of the given function.
pole
residue
second pole
pole
f(2)=
residue
an-1
lim
(n-1)!zzo dz" - 1
= [(z-Z₁J²K(z)]
z
z²+36
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