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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.bfog.01









  


  








Input Form





Hypergeometric2F1[-(31/8), 39/8, -(1/2), z] == (1/(4 (1 - z)^(3/2))) (Sqrt[1 - z] (4 + 147 z - 2920 z^2 + 11408 z^3 - 15552 z^4 + 6912 z^5) Cos[ArcSin[Sqrt[z]]/4] + Sqrt[z] (1 + 883 z - 7112 z^2 + 18320 z^3 - 19008 z^4 + 6912 z^5) 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