L n'(x)=-Sum L k(x)
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Theorem
The following formula holds: $$L_n'(x) = -\displaystyle\sum_{k=0}^{n-1} L_k(x),$$ where $L_n$ denotes Laguerre L.
Proof
References
- 1968: W.W. Bell: Special Functions for Scientists and Engineers ... (previous) ... (next): Theorem 6.5 (iii)
