Legendre Functions of 2nd Kind & Spherical Harmonics

This lecture covers the explicit expression for a second solution to the Legendre equation, known as the Legendre function of the second kind. It explores the properties of Legendre functions, their parity, and singularities. Additionally, it delves into spherical harmonics, their relationship with Legendre polynomials, and their role as common eigenfunctions to specific operators in spherical coordinates.