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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=-21/8, b>=a > For fixed z and a=-21/8, b=37/8





http://functions.wolfram.com/07.23.03.bm01.01









  


  








Input Form





Hypergeometric2F1[-(21/8), 37/8, 3/2, z] == (4/29) (-8 (-1 + 10 z - 24 z^2 + 16 z^3) Cos[(3 ArcSin[Sqrt[z]])/4] - ((1 - 32 z + 160 z^2 - 256 z^3 + 128 z^4) Sin[(3 ArcSin[Sqrt[z]])/4])/ Sqrt[(-(-1 + z)) 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