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variants of this functions
KelvinBer






Mathematica Notation

Traditional Notation









Bessel-Type Functions > KelvinBer[nu,z] > Representations through more general functions > Through Meijer G > Generalized cases involving 0F1





http://functions.wolfram.com/03.18.26.0086.01









  


  










Input Form





Hypergeometric0F1[1 + \[Nu], (I z^2)/4] KelvinBer[\[Nu], z] == (2^(-1 - \[Nu]/2) Sqrt[Pi] z^\[Nu] Gamma[1 + \[Nu]] (E^((3 I Pi \[Nu])/2) 2^(3 (\[Nu]/2)) Csc[Pi (3/4 + \[Nu])] MeijerG[{{(1 - \[Nu])/2}, {(1 - 2 \[Nu])/4}}, {{\[Nu]/2}, {-(\[Nu]/2), -((3 \[Nu])/2), (1 - 2 \[Nu])/4}}, (-1)^(1/4) z, 1/2] + MeijerG[{{}, {}}, {{\[Nu]/4}, {-(\[Nu]/4), (2 - \[Nu])/4, -((3 \[Nu])/4)}}, ((-1)^(1/4) z)/(2 Sqrt[2]), 1/4]))/(E^((3 I Pi \[Nu])/4) ((-1)^(1/4) z)^\[Nu])










Standard Form





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MathML Form







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










Rule Form





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





2007-05-02