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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.bewy.01









  


  








Input Form





Hypergeometric2F1[-(31/8), -(9/8), -(1/2), z] == (1/(836 Sqrt[1 - z])) ((-Sqrt[1 - z]) (-836 + 7315 z + 3570 z^2 - 1341 z^3 + 252 z^4) Cos[ArcSin[Sqrt[z]]/4] + Sqrt[z] (209 + 2785 z - 4209 z^2 + 1467 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