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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=3





http://functions.wolfram.com/07.23.03.au73.01









  


  








Input Form





Hypergeometric2F1[-(11/5), 3, 29/5, -z] == (1/(48828125 z^(24/5))) (38 (-1)^(1/5) (2772 (-1)^(4/5) (1 + z)^5 (19 - 32 z + 24 z^2) Log[1 + z^(1/5)] + 2772 (1 + z)^5 (19 - 32 z + 24 z^2) Log[1 - (-1)^(1/5) z^(1/5)] - (-1)^(1/5) (2772 (1 + z)^5 (19 - 32 z + 24 z^2) Log[1 + (-1)^(2/5) z^(1/5)] + (-1)^(1/5) (-2772 (1 + z)^5 (19 - 32 z + 24 z^2) Log[1 - (-1)^(3/5) z^(1/5)] + (-1)^(1/5) (5 (-1)^(1/5) z^(4/5) (-13167 - 37807 z - 21780 z^2 + 13860 z^3 + 239820 z^4 + 232848 z^5 + 66528 z^6) + 2772 (1 + z)^5 (19 - 32 z + 24 z^2) Log[1 + (-1)^(4/5) z^(1/5)])))))








Standard Form





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MathML Form







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/> <cn type='integer'> 37807 </cn> <ci> z </ci> </apply> </apply> <cn type='integer'> -13167 </cn> </apply> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 2772 </cn> <apply> <power /> <apply> <plus /> <ci> z </ci> <cn type='integer'> 1 </cn> </apply> <cn type='integer'> 5 </cn> </apply> <apply> <plus /> <apply> <times /> <cn type='integer'> 24 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 32 </cn> <ci> z </ci> </apply> </apply> <cn type='integer'> 19 </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'> 3 <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> </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