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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=-7/8, b>=a > For fixed z and a=-7/8, b=39/8





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









  


  










Input Form





Hypergeometric2F1[-(7/8), 39/8, 5/2, z] == (1/(3565 (-1 + z) z^(3/2))) (16 ((-Sqrt[z]) (1 + 238 z - 720 z^2 + 480 z^3) Cos[ArcSin[Sqrt[z]]/4] - (2 (-2 - 29 z + 269 z^2 - 480 z^3 + 240 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