Hi there. Well, I'm stuck with this problem, which says:

When p=0 the Bessel equation is:

Show that its indicial equation only has one root and find the Frobenius solution correspondingly. (Answer:

Well, this is what I did:

At first I normalized the equation:

Then

So x=0 is regular singular point.

Then the indicial equation is:

Then

So from here I took

Then I've made some iterations, but I can't find the form that the problem gives as the answer, some of the iterations:

So the answer I seem to get is

But I should get or something like that, which is how the answer the problem gives looks like.

I'm probably doing something wrong, but I couldn't figure it out what it is.

Bye there, thanks for helping!