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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=-24/5, b>=a > For fixed z and a=-24/5, b=5





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









  


  








Input Form





Hypergeometric2F1[-(24/5), 5, -(4/5), z] == (1/390625) (2394 (-(1105625/2394) - 625/(-1 + z) + (1703750 z)/399 - (877540 z^2)/7 + (3781310 z^3)/9 - 352495 z^4 - 116 z^(9/5) (-266 + 1938 z - 3978 z^2 + 2431 z^3) Log[1 - z^(1/5)] - 116 (-1)^(4/5) z^(9/5) (-266 + 1938 z - 3978 z^2 + 2431 z^3) Log[1 + (-1)^(1/5) z^(1/5)] - 30856 (-1)^(3/5) z^(9/5) Log[1 - (-1)^(2/5) z^(1/5)] + 224808 (-1)^(3/5) z^(14/5) Log[1 - (-1)^(2/5) z^(1/5)] - 461448 (-1)^(3/5) z^(19/5) Log[1 - (-1)^(2/5) z^(1/5)] + 281996 (-1)^(3/5) z^(24/5) Log[1 - (-1)^(2/5) z^(1/5)] + 30856 (-1)^(2/5) z^(9/5) Log[1 + (-1)^(3/5) z^(1/5)] - 224808 (-1)^(2/5) z^(14/5) Log[1 + (-1)^(3/5) z^(1/5)] + 461448 (-1)^(2/5) z^(19/5) Log[1 + (-1)^(3/5) z^(1/5)] - 281996 (-1)^(2/5) z^(24/5) Log[1 + (-1)^(3/5) z^(1/5)] - 30856 (-1)^(1/5) z^(9/5) Log[1 - (-1)^(4/5) z^(1/5)] + 224808 (-1)^(1/5) z^(14/5) Log[1 - (-1)^(4/5) z^(1/5)] - 461448 (-1)^(1/5) z^(19/5) Log[1 - (-1)^(4/5) z^(1/5)] + 281996 (-1)^(1/5) z^(24/5) Log[1 - (-1)^(4/5) z^(1/5)]))








Standard Form





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MathML Form







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<times /> <cn type='integer'> 1938 </cn> <ci> z </ci> </apply> <cn type='integer'> -266 </cn> </apply> <apply> <ln /> <apply> <plus /> <apply> <times /> <apply> <power /> <cn type='integer'> -1 </cn> <cn type='rational'> 1 <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='rational'> 9 <sep /> 5 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 30856 </cn> <apply> <power /> <cn type='integer'> -1 </cn> <cn type='rational'> 3 <sep /> 5 </cn> </apply> <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'> 2 <sep /> 5 </cn> </apply> <apply> <power /> <ci> z </ci> <cn type='rational'> 1 <sep /> 5 </cn> </apply> </apply> </apply> </apply> </apply> <apply> <power /> <ci> z </ci> <cn type='rational'> 9 <sep /> 5 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 30856 </cn> <apply> <power /> <cn type='integer'> -1 </cn> <cn type='rational'> 2 <sep /> 5 </cn> </apply> <apply> <ln /> <apply> <plus /> <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> <cn type='integer'> 1 </cn> </apply> </apply> <apply> <power /> <ci> z </ci> <cn type='rational'> 9 <sep /> 5 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 30856 </cn> <apply> <power /> <cn type='integer'> -1 </cn> <cn type='rational'> 1 <sep /> 5 </cn> </apply> <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 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Date Added to functions.wolfram.com (modification date)





2007-05-02