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WhittakerW




Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/07.45.13.0011.01









  


  








Input Form





4 Derivative[2][w][z] - 4 (Log[r] + 2 Log[s]) Derivative[1][w][z] - ((-1 + a^2 r^(2 z) + 4 \[Mu]^2 - 4 a r^z \[Nu]) Log[r]^2 - 4 Log[r] Log[s] - 4 Log[s]^2) w[z] == 0 /; w[z] == Subscript[c, 1] s^z WhittakerW[\[Nu], \[Mu], a r^z] + Subscript[c, 2] s^z WhittakerM[\[Nu], \[Mu], 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