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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/07.45.13.0007.01









  


  










Input Form





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










Standard Form





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MathML Form







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</mo> <mrow> <mi> w </mi> <mo> &#8289; </mo> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> </mrow> </mrow> <mtext> </mtext> <mo> &#10869; </mo> <mn> 0 </mn> </mrow> <mo> /; </mo> <mrow> <mrow> <mi> w </mi> <mo> &#8289; </mo> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> <mo> &#63449; </mo> <mrow> <mrow> <msub> <mi> c </mi> <mn> 1 </mn> </msub> <mo> &#8290; </mo> <mrow> <mi> h </mi> <mo> &#8289; </mo> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <mtext> </mtext> <mrow> <msub> <semantics> <mi> W </mi> <annotation encoding='Mathematica'> TagBox[&quot;W&quot;, WhittakerM] </annotation> </semantics> <mrow> <mi> &#957; </mi> <mo> , </mo> <mi> &#956; </mi> </mrow> </msub> <mo> ( </mo> <mrow> <mi> g </mi> <mo> &#8289; </mo> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <msub> <mi> c </mi> <mn> 2 </mn> </msub> <mo> &#8290; </mo> <mrow> <mi> h </mi> <mo> &#8289; </mo> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> <mo> &#8290; 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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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