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variants of this functions
LaguerreL






Mathematica Notation

Traditional Notation









Hypergeometric Functions > LaguerreL[nu,lambda,z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving exponential function and a power function





http://functions.wolfram.com/07.03.21.0007.01









  


  










Input Form





Integrate[(z^(\[Alpha] - 1) LaguerreL[\[Nu], \[Lambda], c z])/E^(c z), z] == (1/Gamma[1 + \[Nu]]) (z^\[Alpha] Gamma[\[Alpha]] Gamma[1 + \[Nu] + \[Lambda]] HypergeometricPFQRegularized[ {1 + \[Nu] + \[Lambda], \[Alpha]}, {1 + \[Lambda], 1 + \[Alpha]}, (-c) z])










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