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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 8 and fixed z and a<0 > For fixed z and a=-31/8, b>=a > For fixed z and a=-31/8, b=-1/8





http://functions.wolfram.com/07.23.03.bf0h.01









  


  








Input Form





Hypergeometric2F1[-(31/8), -(1/8), 3/2, z] == (1/28215) (4 (-4 (-1808 - 765 z + 384 z^2 - 137 z^3 + 22 z^4) Cos[ArcSin[Sqrt[z]]/4] - ((713 + 1757 z - 3765 z^2 + 1799 z^3 - 592 z^4 + 88 z^5) Sin[ArcSin[Sqrt[z]]/4])/Sqrt[(-(-1 + z)) z]))








Standard Form





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MathML Form







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Rule Form





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





2007-05-02