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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=1/8, b>=a > For fixed z and a=1/8, b=31/8





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









  


  










Input Form





Hypergeometric2F1[1/8, 31/8, 5/2, z] == (16 (Sqrt[z] (-1 - 56 z + 56 z^2) Cos[ArcSin[Sqrt[z]]/4] + (4 (1 + 5 z - 21 z^2 + 14 z^3) Sin[ArcSin[Sqrt[z]]/4])/Sqrt[1 - z]))/ (805 (-1 + z) z^(3/2))










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