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variants of this functions
LaguerreL




Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/05.08.21.0004.01









  


  








Input Form





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