Fourier series: generalizations & applications. Part 3.

Last part! I give a few more details on how to find the radial part of the eigenfunctions of the Laplacian with vanishing boundary conditions on a sphere. This radial part is given by the spherical Bessel functions and their roots, and the latter quantize the eigenvalues of the full problem. A brief example is given at the end, but if you want to understand more, remember to play with the solutions!
Video. Notes.