While trying to solve the Legendre ODE, my serie (obtain by Frobenius method) was transform by Maple by the following:
/[ 1 1 1 ]  2\
hypergeom|[- - p, - + - p], [-], x |
\[ 2 2 2 ]  /
where y1x is my serie and p is the degree of the ODE. But at the screen, the output is:
So my questions are
1. What the 2 and the 1 around the F means?
2. Is it normal that this special function is the solution of the Legendre ODE?
(in fact, I test it for different p::posint and it worked)
3. Can someone help me to have the ratio |a(k+1)/a(k)| so I can do the ratio test for the convergence of that serie. In fact, any additionnals informations ,other than the helps pages, would be very welcome.
Thanks in advance