Find the isolated singularities for the holomorphic functions f, g, h. Determine the types and compute the residue. [Types include: essential, pole, removable] f(z)=(z2-1)/(z-1) g(z)=1/(z2*(z+1)) h(z)=sin(z)/z3

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Find the isolated singularities for the holomorphic functions f, g, h. Determine the types and compute the residue. [Types include: essential, pole, removable]

f(z)=(z2-1)/(z-1)

g(z)=1/(z2*(z+1))

h(z)=sin(z)/z3

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