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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=-11/5, b>=a > For fixed z and a=-11/5, b=4





http://functions.wolfram.com/07.23.03.au98.01









  


  










Input Form





Hypergeometric2F1[-(11/5), 4, 29/5, z] == -((1/(244140625 z^(24/5))) (114 (-1)^(1/5) (924 (-1)^(4/5) (-1 + z)^4 (57 + 144 z + 216 z^2 + 208 z^3) Log[1 - z^(1/5)] + 924 (-1 + z)^4 (57 + 144 z + 216 z^2 + 208 z^3) Log[1 + (-1)^(1/5) z^(1/5)] + (-1)^(1/5) (-924 (-1 + z)^4 (57 + 144 z + 216 z^2 + 208 z^3) Log[1 - (-1)^(2/5) z^(1/5)] + (-1)^(1/5) (924 (-1 + z)^4 (57 + 144 z + 216 z^2 + 208 z^3) Log[1 + (-1)^(3/5) z^(1/5)] + (-1)^(1/5) (5 (-1)^(1/5) z^(4/5) (13167 - 13552 z - 9020 z^2 - 9240 z^3 + 410480 z^4 - 537152 z^5 + 192192 z^6) - 924 (-1 + z)^4 (57 + 144 z + 216 z^2 + 208 z^3) Log[1 - (-1)^(4/5) z^(1/5)]))))))










Standard Form





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MathML Form







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</cn> <apply> <times /> <cn type='integer'> 13552 </cn> <ci> z </ci> </apply> </apply> <cn type='integer'> 13167 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 924 </cn> <apply> <power /> <apply> <plus /> <ci> z </ci> <cn type='integer'> -1 </cn> </apply> <cn type='integer'> 4 </cn> </apply> <apply> <plus /> <apply> <times /> <cn type='integer'> 208 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 3 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 216 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 144 </cn> <ci> z </ci> </apply> <cn type='integer'> 57 </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> </apply> </apply> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 924 </cn> <apply> <power /> <apply> <plus /> <ci> z </ci> <cn type='integer'> -1 </cn> </apply> <cn type='integer'> 4 </cn> </apply> <apply> <plus /> <apply> <times /> <cn type='integer'> 208 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 3 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 216 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 144 </cn> <ci> z </ci> </apply> <cn type='integer'> 57 </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 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Rule Form





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





2007-05-02