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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/07.03.13.0017.01









  


  










Input Form





Derivative[2][w][z] - ((-\[Lambda] + a r^z) Log[r] + 2 Log[s]) Derivative[1][w][z] + (\[Nu] a r^z Log[r]^2 + (-\[Lambda] + a r^z) Log[r] Log[s] + Log[s]^2) w[z] == 0 /; w[z] == Subscript[c, 1] s^z LaguerreL[\[Nu], \[Lambda], a r^z] + Subscript[c, 2] s^z HypergeometricU[-\[Nu], \[Lambda] + 1, a r^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)





2007-05-02