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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=-29/5, b>=a > For fixed z and a=-29/5, b=3





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









  


  








Input Form





Hypergeometric2F1[-(29/5), 3, -(9/5), z] == (1/46875) (46875 + 453125 z + 5437500 z^2 - 66659980 z^3 + 137039210 z^4 - 76715730 z^5 - 277704 z^(14/5) (-76 + 348 z - 493 z^2 + 221 z^3) Log[1 - z^(1/5)] - 277704 (-1)^(4/5) z^(14/5) (-76 + 348 z - 493 z^2 + 221 z^3) Log[1 + (-1)^(1/5) z^(1/5)] - 21105504 (-1)^(3/5) z^(14/5) Log[1 - (-1)^(2/5) z^(1/5)] + 96640992 (-1)^(3/5) z^(19/5) Log[1 - (-1)^(2/5) z^(1/5)] - 136908072 (-1)^(3/5) z^(24/5) Log[1 - (-1)^(2/5) z^(1/5)] + 61372584 (-1)^(3/5) z^(29/5) Log[1 - (-1)^(2/5) z^(1/5)] + 21105504 (-1)^(2/5) z^(14/5) Log[1 + (-1)^(3/5) z^(1/5)] - 96640992 (-1)^(2/5) z^(19/5) Log[1 + (-1)^(3/5) z^(1/5)] + 136908072 (-1)^(2/5) z^(24/5) Log[1 + (-1)^(3/5) z^(1/5)] - 61372584 (-1)^(2/5) z^(29/5) Log[1 + (-1)^(3/5) z^(1/5)] - 21105504 (-1)^(1/5) z^(14/5) Log[1 - (-1)^(4/5) z^(1/5)] + 96640992 (-1)^(1/5) z^(19/5) Log[1 - (-1)^(4/5) z^(1/5)] - 136908072 (-1)^(1/5) z^(24/5) Log[1 - (-1)^(4/5) z^(1/5)] + 61372584 (-1)^(1/5) z^(29/5) Log[1 - (-1)^(4/5) z^(1/5)])








Standard Form





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MathML Form







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type='integer'> 96640992 </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'> 19 <sep /> 5 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 96640992 </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 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 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Date Added to functions.wolfram.com (modification date)





2007-05-02