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variants of this functions
Hypergeometric2F1




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Specific values > For rational parameters with denominators 5 and fixed z > For fixed z and a=3/5, b>=a > For fixed z and a=3/5, b=2





http://functions.wolfram.com/07.23.03.ayeo.01









  


  








Input Form





Hypergeometric2F1[3/5, 2, 23/5, -z] == -((1/(3125 z^(18/5))) (39 (-1)^(1/5) (520 (-1)^(4/5) z^(3/5) + 765 (-1)^(4/5) z^(8/5) + 120 (-1)^(4/5) z^(13/5) + 24 (-1)^(4/5) (1 + z)^2 (-13 + 2 z) Log[1 + z^(1/5)] - 24 (-1)^(1/5) (1 + z)^2 (-13 + 2 z) Log[1 - (-1)^(1/5) z^(1/5)] + 312 (-1)^(3/5) Log[1 + (-1)^(2/5) z^(1/5)] + 576 (-1)^(3/5) z Log[1 + (-1)^(2/5) z^(1/5)] + 216 (-1)^(3/5) z^2 Log[1 + (-1)^(2/5) z^(1/5)] - 48 (-1)^(3/5) z^3 Log[1 + (-1)^(2/5) z^(1/5)] - 312 Log[1 - (-1)^(3/5) z^(1/5)] - 576 z Log[1 - (-1)^(3/5) z^(1/5)] - 216 z^2 Log[1 - (-1)^(3/5) z^(1/5)] + 48 z^3 Log[1 - (-1)^(3/5) z^(1/5)] - 312 (-1)^(2/5) Log[1 + (-1)^(4/5) z^(1/5)] - 576 (-1)^(2/5) z Log[1 + (-1)^(4/5) z^(1/5)] - 216 (-1)^(2/5) z^2 Log[1 + (-1)^(4/5) z^(1/5)] + 48 (-1)^(2/5) z^3 Log[1 + (-1)^(4/5) z^(1/5)])))








Standard Form





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MathML Form







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type='integer'> 39 </cn> <apply> <power /> <cn type='integer'> -1 </cn> <cn type='rational'> 1 <sep /> 5 </cn> </apply> <apply> <plus /> <apply> <times /> <cn type='integer'> -48 </cn> <apply> <power /> <cn type='integer'> -1 </cn> <cn type='rational'> 3 <sep /> 5 </cn> </apply> <apply> <ln /> <apply> <plus /> <apply> <times /> <apply> <power /> <cn type='integer'> -1 </cn> <cn type='rational'> 2 <sep /> 5 </cn> </apply> <apply> <power /> <ci> z </ci> <cn type='rational'> 1 <sep /> 5 </cn> </apply> </apply> <cn type='integer'> 1 </cn> </apply> </apply> <apply> <power /> <ci> z </ci> <cn type='integer'> 3 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 48 </cn> <apply> <ln /> <apply> <plus /> <cn type='integer'> 1 </cn> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <apply> <power /> <cn type='integer'> -1 </cn> <cn type='rational'> 3 <sep /> 5 </cn> </apply> <apply> <power /> <ci> z </ci> <cn type='rational'> 1 <sep /> 5 </cn> </apply> </apply> </apply> 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Rule Form





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





2007-05-02