I am reading Jackson's electrodynamics book. When I went through the Legendre polynomial, I have a question.
In the book, it stated that from the Rodrigues' formula we have
Consider only the odd terms
Thanks in advance.
In the book, it stated that from the Rodrigues' formula we have
Consider only the odd terms
[itex]\int_0^1dx\;P_l(x)=\left(-\frac{1}{2}\right)^{\frac{l-1}{2}}\frac{(l-2)!!}{2\left(\frac{l+1}{2}\right)!}[/itex]
How to obtain this equation and how can I obtain the equation for even terms?Thanks in advance.