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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=5





http://functions.wolfram.com/07.23.03.ao44.01









  


  








Input Form





Hypergeometric2F1[-(29/5), 5, -(9/5), -z] == (1/390625) (7714 (-(4430625/7714) - (456875 z)/2394 + (1870000 z^2)/133 + (830960 z^3)/3 + (7134985 z^4)/9 + 595595 z^5 + 625/(1 + z) + 68 z^(14/5) (1102 + 6786 z + 12441 z^2 + 7007 z^3) Log[1 + z^(1/5)] + 68 (-1)^(4/5) z^(14/5) (1102 + 6786 z + 12441 z^2 + 7007 z^3) Log[1 - (-1)^(1/5) z^(1/5)] - 74936 (-1)^(3/5) z^(14/5) Log[1 + (-1)^(2/5) z^(1/5)] - 461448 (-1)^(3/5) z^(19/5) Log[1 + (-1)^(2/5) z^(1/5)] - 845988 (-1)^(3/5) z^(24/5) Log[1 + (-1)^(2/5) z^(1/5)] - 476476 (-1)^(3/5) z^(29/5) Log[1 + (-1)^(2/5) z^(1/5)] + 74936 (-1)^(2/5) z^(14/5) Log[1 - (-1)^(3/5) z^(1/5)] + 461448 (-1)^(2/5) z^(19/5) Log[1 - (-1)^(3/5) z^(1/5)] + 845988 (-1)^(2/5) z^(24/5) Log[1 - (-1)^(3/5) z^(1/5)] + 476476 (-1)^(2/5) z^(29/5) Log[1 - (-1)^(3/5) z^(1/5)] - 74936 (-1)^(1/5) z^(14/5) Log[1 + (-1)^(4/5) z^(1/5)] - 461448 (-1)^(1/5) z^(19/5) Log[1 + (-1)^(4/5) z^(1/5)] - 845988 (-1)^(1/5) z^(24/5) Log[1 + (-1)^(4/5) z^(1/5)] - 476476 (-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'> 7714 </cn> <apply> <plus /> <apply> <times /> <cn type='integer'> -476476 </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> <power /> <ci> z </ci> <cn type='rational'> 29 <sep /> 5 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 476476 </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> 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Date Added to functions.wolfram.com (modification date)





2007-05-02