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SpheroidalS1Prime




Mathematica Notation

Traditional Notation









Mathieu and Spheroidal Functions > SpheroidalS1Prime[nu,mu,gamma,z] > Differential equations > Ordinary linear differential equations and wronskians > For the direct function itself





http://functions.wolfram.com/11.14.13.0004.01









  


  








Input Form





Wronskian[SpheroidalS1Prime[\[Nu], \[Mu], \[Gamma], g[z]], SpheroidalS2Prime[\[Nu], \[Mu], \[Gamma], g[z]], z] == Derivative[1][g][z] (-(\[Gamma]^2/(1 - g[z]^2)) + \[Mu]^2/(1 - g[z]^2)^3 - SpheroidalEigenvalue[\[Nu], \[Mu], \[Gamma]]/(1 - g[z]^2)^2) (SpheroidalS1Prime[\[Nu], \[Mu], \[Gamma], 0] SpheroidalS2[\[Nu], \[Mu], \[Gamma], 0] - SpheroidalS1[\[Nu], \[Mu], \[Gamma], 0] SpheroidalS2Prime[\[Nu], \[Mu], \[Gamma], 0])








Standard Form





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MathML Form







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</ci> <ci> &#956; </ci> <ci> &#947; </ci> <apply> <ci> g </ci> <ci> z </ci> </apply> </apply> <apply> <ci> SpheroidalS2Prime </ci> <ci> &#957; </ci> <ci> &#956; </ci> <ci> &#947; </ci> <apply> <ci> g </ci> <ci> z </ci> </apply> </apply> </apply> <apply> <times /> <apply> <partialdiff /> <bvar> <ci> z </ci> </bvar> <apply> <ci> g </ci> <ci> z </ci> </apply> </apply> <apply> <plus /> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <apply> <power /> <ci> &#947; </ci> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <apply> <plus /> <cn type='integer'> 1 </cn> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <power /> <apply> <ci> g </ci> <ci> z </ci> </apply> <cn type='integer'> 2 </cn> </apply> </apply> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <apply> <ci> SpheroidalEigenvalue </ci> <ci> &#957; </ci> <ci> &#956; </ci> <ci> &#947; </ci> </apply> <apply> <power /> <apply> <power /> <apply> <plus /> <cn type='integer'> 1 </cn> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <power /> <apply> <ci> g </ci> <ci> z </ci> </apply> <cn type='integer'> 2 </cn> </apply> </apply> </apply> <cn type='integer'> 2 </cn> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> <apply> <times /> <apply> <power /> <ci> &#956; 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Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02