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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=-5/8, b>=a > For fixed z and a=-5/8, b=5/8





http://functions.wolfram.com/07.23.03.bui5.01









  


  








Input Form





Hypergeometric2F1[-(5/8), 5/8, 5/2, z] == (16 ((-Sqrt[z]) (15 - 77 z + 14 z^2) Cos[(3 ArcSin[Sqrt[z]])/4] - (2 (-10 + 45 z - 42 z^2 + 7 z^3) Sin[(3 ArcSin[Sqrt[z]])/4])/ Sqrt[1 - z]))/(357 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