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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/07.03.13.0015.01









  


  










Input Form





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










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