Properties of associated Legendre conical functions

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

We present some new properties of associated Legendre conical functions of the first and second kind, $P_{-1/2+i\tau }^{-1/2-K}(\chi )$ and $Q_{-1/2+i\tau }^{-1/2-K}(\chi )$. In particular we sh…