Exceptional points for associated Legendre functions of the second kind

Tianye Liu, Daniel A. Norman, Philip D. Mannheim

We consider the complex $\nu$ plane structure of the associated Legendre function of the second kind $Q_{\nu }^{-1/2-K}(\cosh \rho )$. We find that for any noninteger value for $K$ $Q^{-1/2-K}…