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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=-9/8





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









  


  










Input Form





Hypergeometric2F1[-(31/8), -(9/8), -(7/2), z] == (1/(8960 Sqrt[1 - z])) (Sqrt[1 - z] (8960 - 11440 z + 1059 z^2 + 333 z^3 + 252 z^4) Cos[ArcSin[Sqrt[z]]/4] + Sqrt[z] (2240 - 3560 z + 861 z^2 + 207 z^3 + 252 z^4) 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