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SpheroidalS1Prime






Mathematica Notation

Traditional Notation









Mathieu and Spheroidal Functions > SpheroidalS1Prime[nu,mu,gamma,z] > Series representations > Generalized power series > Expansions at z==0





http://functions.wolfram.com/11.14.06.0003.01









  


  










Input Form





SpheroidalS1Prime[\[Nu], \[Mu], \[Gamma], z] \[Proportional] SpheroidalS1Prime[\[Nu], \[Mu], \[Gamma], 0] - (\[Gamma]^2 - \[Mu]^2 + SpheroidalEigenvalue[\[Nu], \[Mu], \[Gamma]]) SpheroidalS1[\[Nu], \[Mu], \[Gamma], 0] z - (1/2) (-2 + \[Gamma]^2 - \[Mu]^2 + SpheroidalEigenvalue[\[Nu], \[Mu], \[Gamma]]) SpheroidalS1Prime[\[Nu], \[Mu], \[Gamma], 0] z^2 + (1/6) (2 \[Gamma]^2 + 2 \[Mu]^2 - 6 (\[Gamma]^2 - \[Mu]^2 + SpheroidalEigenvalue[\[Nu], \[Mu], \[Gamma]]) + (\[Gamma]^2 - \[Mu]^2 + SpheroidalEigenvalue[\[Nu], \[Mu], \[Gamma]])^2) SpheroidalS1[\[Nu], \[Mu], \[Gamma], 0] z^3 + \[Ellipsis] /; (z -> 0)










Standard Form





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MathML Form







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</ci> </apply> </apply> <apply> <ci> Rule </ci> <ci> z </ci> <cn type='integer'> 0 </cn> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





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





2007-05-02





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