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variants of this functions
LaguerreL






Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/07.02.13.0011.01









  


  










Input Form





z^2 Derivative[2][w][z] + (1 - 2 s - a r z^r) z Derivative[1][w][z] + (s^2 + a r (\[Nu] r + s) z^r) w[z] == 0 /; w[z] == Subscript[c, 1] z^s LaguerreL[\[Nu], a z^r] + Subscript[c, 2] z^s MeijerG[{{}, {\[Nu] + 1}}, {{0, 0}, {}}, (-a) z^r] && !(Element[\[Nu], Integers] && \[Nu] < 0)










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





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