XL n'(x)=nL n(x)-n L (n-1)(x)
From specialfunctionswiki
Theorem
The following formula holds: $$xL_n'(x)=nL_n(x)-nL_{n-1}(x),$$ where $L_n$ denotes Laguerre L.
Proof
References
- 1968: W.W. Bell: Special Functions for Scientists and Engineers ... (previous) ... (next): Theorem 6.5 (ii)
