View source for XL n'(x)=nL n(x)-n L (n-1)(x)

==Theorem==
The following formula holds:
$$xL_n'(x)=nL_n(x)-nL_{n-1}(x),$$
where $L_n$ denotes [[Laguerre L]].

==Proof==

==References==
* {{BookReference|Special Functions for Scientists and Engineers|1968|W.W. Bell|prev=(n+1)L (n+1)(x) = (2n+1-x)L n(x)-nL (n-1)(x)|next=L n'(x)=-Sum L k(x)}}: Theorem 6.5 (ii)

[[Category:Theorem]]
[[Category:Unproven]]