Residue[LaguerreL[n, \[Lambda], z], {\[Lambda], -n - k}] == ((-1)^(k - 1)/(Gamma[n + 1] (k - 1)!)) Hypergeometric1F1Regularized[-n, 1 - n - k, z] /; Element[k, Integers] && k > 0

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2001-10-29