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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.b1fb.01









  


  








Input Form





Hypergeometric2F1[11/5, 4, 21/5, -z] == (1/9375) (88 ((75 - 50 z)/(1 + z)^2 + (1/z^(11/5)) (4 (-30 z^(1/5) + 5 z^(6/5) + 6 Log[1 + z^(1/5)] + 6 (-1)^(4/5) Log[1 - (-1)^(1/5) z^(1/5)] - 6 (-1)^(3/5) Log[1 + (-1)^(2/5) z^(1/5)] + 6 (-1)^(2/5) Log[1 - (-1)^(3/5) z^(1/5)] - 6 (-1)^(1/5) Log[1 + (-1)^(4/5) z^(1/5)])) + (1/z^(16/5)) (330 z^(1/5) - 55 z^(6/5) + 30 z^(11/5) - 66 Log[1 + z^(1/5)] - 66 (-1)^(4/5) Log[1 - (-1)^(1/5) z^(1/5)] + 66 (-1)^(3/5) Log[1 + (-1)^(2/5) z^(1/5)] - 66 (-1)^(2/5) Log[1 - (-1)^(3/5) z^(1/5)] + 66 (-1)^(1/5) Log[1 + (-1)^(4/5) z^(1/5)])))








Standard Form





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MathML Form







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</cn> <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> </apply> </apply> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 66 </cn> <apply> <power /> <cn type='integer'> -1 </cn> <cn type='rational'> 3 <sep /> 5 </cn> </apply> <apply> <ln /> <apply> <plus /> <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> <cn type='integer'> 1 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 66 </cn> <apply> <power /> <cn type='integer'> -1 </cn> <cn type='rational'> 2 <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'> 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> <times /> <cn type='integer'> 66 </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'> 4 <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> </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