Power series approach to solving a Bessel function

Video example of power series approximation for AM 105 by Charles Alver.

[Ryan-bouc]

You cannot expand about the point x=0 because it is not an ordinary point. This point is actually a regular singular point and so you should use Frobenius' method for solving it.

[serkan]

As Ryan said
You cannot expand about the point x=0 because it is not an ordinary point. This point is actually a regular singular point and so you should use Frobenius' method for solving it.

[scdrivercam]

Can you continue the solution video? It was great up until the end where it feels abruptly ended.

[tylerwooldridge]

When you introduce the dummy variable to replace n by m-2 and n+2 by m, by doing so you would also change summation index as well; n=0 would change to n=2. You would actually use a Laurent Series to solve for any regular singular point.