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SpheroidalQS






Mathematica Notation

Traditional Notation









Mathieu and Spheroidal Functions > SpheroidalQS[nu,mu,gamma,z] > Differential equations > Ordinary linear differential equations and wronskians > For the direct function itself





http://functions.wolfram.com/11.09.13.0005.01









  


  










Input Form





(1 - g[z]^2) Derivative[2][w][z] + (-2 g[z] Derivative[1][g][z] + (-1 + g[z]^2) ((2 Derivative[1][h][z])/h[z] + Derivative[2][g][z]/ Derivative[1][g][z])) Derivative[1][w][z] + (Derivative[1][g][z]^2 SpheroidalEigenvalue[\[Nu], \[Mu], \[Gamma]] + ((\[Mu] + \[Gamma] - \[Gamma] g[z]^2) (\[Mu] - \[Gamma] + \[Gamma] g[z]^2) Derivative[1][g][z]^2)/(-1 + g[z]^2) + (2 g[z] Derivative[1][g][z] Derivative[1][h][z])/h[z] - ((-1 + g[z]^2) Derivative[1][h][z] Derivative[2][g][z])/ (h[z] Derivative[1][g][z]) + ((-1 + g[z]^2) (-2 Derivative[1][h][z]^2 + h[z] Derivative[2][h][z]))/ h[z]^2) w[z] == 0 /; w[z] == Subscript[c, 1] h[z] SpheroidalQS[\[Nu], \[Mu], \[Gamma], g[z]] + Subscript[c, 2] h[z] SpheroidalPS[\[Nu], \[Mu], \[Gamma], g[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





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