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SpheroidalQSPrime






Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/11.13.13.0007.01









  


  










Input Form





(1 - a^2 z^(2 r)) Derivative[2][w][z] + (-((-1 + r + 2 s + a^2 (1 + r - 2 s) z^(2 r))/z)) Derivative[1][w][z] + (a^2 r^2 z^(-2 + 2 r) SpheroidalEigenvalue[\[Nu], \[Mu], \[Gamma]] + ((-s^2) (-1 + a^2 z^(2 r))^2 + r s (-1 + a^4 z^(4 r)) - a^2 r^2 z^(2 r) (-\[Mu]^2 + (-1 + a^2 z^(2 r))^2 \[Gamma]^2))/ (z^2 (-1 + a^2 z^(2 r)))) w[z] == 0 /; w[z] == Subscript[c, 1] z^s SpheroidalQSPrime[\[Nu], \[Mu], \[Gamma], a z^r] + Subscript[c, 2] z^s SpheroidalPSPrime[\[Nu], \[Mu], \[Gamma], 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





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