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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 > Generalized cases involving 1F~1





http://functions.wolfram.com/07.03.26.0026.01









  


  








Input Form





Hypergeometric1F1Regularized[-\[Nu], 1 + \[Lambda], -z] LaguerreL[\[Nu], \[Lambda], z] == (-2^(-\[Lambda])) Sqrt[Pi] Sin[Pi \[Nu]] MeijerG[{{1 + \[Nu], -\[Lambda] - \[Nu]}, {1/2}}, {{0}, {-(\[Lambda]/2), (1 - \[Lambda])/2, -\[Lambda], 1/2}}, z/2, 1/2]








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