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WhittakerM




Mathematica Notation

Traditional Notation









Hypergeometric Functions > WhittakerM[nu,mu,z] > Representations through more general functions > Through Meijer G > Generalized cases for products of WhittakerM M





http://functions.wolfram.com/07.44.26.0061.01









  


  








Input Form





WhittakerM[\[Nu], \[Mu], -z] WhittakerM[\[Nu], \[Mu], z] == ((2^(1/2 - \[Mu]) Pi^(3/2) (-z)^(1/2 + \[Mu]) Gamma[1 + 2 \[Mu]]^2)/ (Gamma[1/2 + \[Mu] - \[Nu]] Gamma[1/2 + \[Mu] + \[Nu]])) MeijerG[{{3/4 - \[Mu]/2 + \[Nu], 3/4 - \[Mu]/2 - \[Nu]}, {3/4 + \[Mu]/2}}, {{1/4 + \[Mu]/2}, {1/4 - \[Mu]/2, 3/4 - \[Mu]/2, 1/4 - (3 \[Mu])/2, 3/4 + \[Mu]/2}}, z/2, 1/2]








Standard Form





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MathML Form







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</ci> <apply> <power /> <cn type='integer'> 2 </cn> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </apply> <apply> <plus /> <cn type='rational'> 1 <sep /> 4 </cn> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 3 </cn> <ci> &#956; </ci> <apply> <power /> <cn type='integer'> 2 </cn> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </apply> <apply> <plus /> <apply> <times /> <ci> &#956; </ci> <apply> <power /> <cn type='integer'> 2 </cn> <cn type='integer'> -1 </cn> </apply> </apply> <cn type='rational'> 3 <sep /> 4 </cn> </apply> </list> </list> <apply> <times /> <ci> z </ci> <apply> <power /> <cn type='integer'> 2 </cn> <cn type='integer'> -1 </cn> </apply> </apply> <cn type='rational'> 1 <sep /> 2 </cn> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





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





2007-05-02