XL n'(x)=nL n(x)-n L (n-1)(x)
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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)
