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variants of this functions
LaguerreL






Mathematica Notation

Traditional Notation









Polynomials > LaguerreL[n,lambda,z] > General characteristics > Poles and essential singularities > With respect to lambda





http://functions.wolfram.com/05.08.04.0005.01









  


  










Input Form





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










Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2001-10-29