.

This seperates into 2 equations: and . The second equation has solution of exponentials or linear term for . The first equation is solved by , , or for , . The general solution is a superposition of all these solutions.

: and so we want to satisfy . Must have in order to avoid the singularity. so . Very near to the cornet, you will get only the lowest order terms contributing. Then .

source psfile jl@crush.caltech.edu index