miu[zeta_] := (epsilon[1]*(1 + zeta)^2 + epsilon[2]*(1 - zeta)^2)/(4*
zeta) + Sqrt[(epsilon[1]*(1 + zeta)^2 +
epsilon[2]*(1 - zeta)^2)^2 - 16*zeta^2]/(4*zeta)
omega[zeta_] := (a + b)/2*miu[zeta] + (a - b)/(2*miu[zeta])
omegaPoles = Solve[Denominator[omega[zeta]] == 0, zeta]
I'm attempting to find the poles and residue of the function omega[zeta]. However, the output for omegaPoles is empty. Are the poles of this function at zero or at infinity？
Thank you in advance for your help and suggestions.
