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variants of this functions
LaguerreL




Mathematica Notation

Traditional Notation









Hypergeometric Functions > LaguerreL[nu,lambda,z] > Representations through more general functions > Through Meijer G > Classical cases involving exp and 1F1





http://functions.wolfram.com/07.03.26.0014.01









  


  








Input Form





(Hypergeometric1F1[1 + \[Lambda] + \[Nu], 1 + \[Lambda], z] LaguerreL[\[Nu], \[Lambda], z])/E^z == (-2^(-\[Lambda])) Sqrt[Pi] Gamma[1 + \[Lambda]] Sin[Pi \[Nu]] MeijerG[{{1 + \[Nu], -\[Lambda] - \[Nu]}, {1/2}}, {{0}, {-(\[Lambda]/2), 1/2 - \[Lambda]/2, -\[Lambda], 1/2}}, z^2/4]








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)





2007-05-02