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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=18/5, b>=a > For fixed z and a=18/5, b=5





http://functions.wolfram.com/07.23.03.b37s.01









  


  








Input Form





Hypergeometric2F1[18/5, 5, 28/5, z] == (1/31250) (69 (-(1150/(-1 + z)^3) + 4680/z^4 + 2275/z^3 + 1275/z^2 + 900/z + (1425 z)/(-1 + z)^3 - (900 z^2)/(-1 + z)^3 + (312 (9 + z) Log[1 - z^(1/5)])/z^(23/5) + (312 (-1)^(2/5) (9 + z) Log[1 + (-1)^(1/5) z^(1/5)])/z^(23/5) + (2808 (-1)^(4/5) Log[1 - (-1)^(2/5) z^(1/5)])/z^(23/5) + (312 (-1)^(4/5) Log[1 - (-1)^(2/5) z^(1/5)])/z^(18/5) - (2808 (-1)^(1/5) Log[1 + (-1)^(3/5) z^(1/5)])/z^(23/5) - (312 (-1)^(1/5) Log[1 + (-1)^(3/5) z^(1/5)])/z^(18/5) - (2808 (-1)^(3/5) Log[1 - (-1)^(4/5) z^(1/5)])/z^(23/5) - (312 (-1)^(3/5) Log[1 - (-1)^(4/5) z^(1/5)])/z^(18/5)))








Standard Form





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MathML Form







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<apply> <times /> <cn type='integer'> 2808 </cn> <apply> <power /> <cn type='integer'> -1 </cn> <cn type='rational'> 4 <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 /> <apply> <power /> <ci> z </ci> <cn type='rational'> 23 <sep /> 5 </cn> </apply> <cn type='integer'> -1 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 2808 </cn> <apply> <power /> <cn type='integer'> -1 </cn> <cn type='rational'> 1 <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 /> <apply> <power /> <ci> z </ci> <cn type='rational'> 23 <sep /> 5 </cn> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 2808 </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'> 4 <sep /> 5 </cn> </apply> <apply> <power /> <ci> z </ci> <cn type='rational'> 1 <sep /> 5 </cn> </apply> </apply> </apply> </apply> </apply> <apply> <power /> <apply> <power /> <ci> z </ci> <cn type='rational'> 23 <sep /> 5 </cn> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </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