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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 1F1





http://functions.wolfram.com/07.03.26.0012.01









  


  










Input Form





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