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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=-47/8, b>=a > For fixed z and a=-47/8, b=-1/8





http://functions.wolfram.com/07.23.03.b510.01









  


  








Input Form





Hypergeometric2F1[-(47/8), -(1/8), -(1/2), z] == (1/7524) (2 (3762 - 5643 z + 27107 z^2 - 46413 z^3 + 40755 z^4 - 18304 z^5 + 3344 z^6) Cos[ArcSin[Sqrt[z]]/4] + (1/Sqrt[1 - z]) (Sqrt[z] (1881 - 30637 z + 92465 z^2 - 129423 z^3 + 98978 z^4 - 39952 z^5 + 6688 z^6) Sin[ArcSin[Sqrt[z]]/4]))








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