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variants of this functions
LaguerreL




Mathematica Notation

Traditional Notation









Hypergeometric Functions > LaguerreL[nu,lambda,z] > Differential equations > Ordinary linear differential equations and wronskians > For the direct function itself





http://functions.wolfram.com/07.03.13.0003.01









  


  








Input Form





z Derivative[2][w][z] + (\[Lambda] + 1 - z) Derivative[1][w][z] + \[Nu] w[z] == 0 /; w[z] == Subscript[c, 1] LaguerreL[\[Nu], \[Lambda], z] + (Subscript[c, 2] Hypergeometric1F1Regularized[-\[Nu] - \[Lambda], 1 - \[Lambda], z])/z^\[Lambda] /; !Element[\[Lambda], Integers]








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