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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=39/8





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









  


  








Input Form





Hypergeometric2F1[-(31/8), 39/8, 1/2, z] == (1 - 40 z + 240 z^2 - 448 z^3 + 256 z^4) Cos[ArcSin[Sqrt[z]]/4] + (Sqrt[z] (9 - 120 z + 432 z^2 - 576 z^3 + 256 z^4) Sin[ArcSin[Sqrt[z]]/4])/ Sqrt[1 - 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