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:
So x=0 is regular singular point.
Then the indicial equation is:
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!