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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=-25/8





http://functions.wolfram.com/07.23.03.b4s6.01









  


  








Input Form





Hypergeometric2F1[-(47/8), -(25/8), 1/2, z] == (1/(188727 Sqrt[1 - z])) (Sqrt[1 - z] (188727 + 7101949 z + 25413426 z^2 + 15744266 z^3 + 613275 z^4 - 43095 z^5 + 2380 z^6) Cos[ArcSin[Sqrt[z]]/4] + Sqrt[z] (-664927 - 4603729 z - 499898 z^2 + 5175934 z^3 + 634525 z^4 - 44285 z^5 + 2380 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