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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=-37/8, b>=a > For fixed z and a=-37/8, b=-25/8





http://functions.wolfram.com/07.23.03.bba0.01









  


  








Input Form





Hypergeometric2F1[-(37/8), -(25/8), -(9/2), -z] == (1/(64512 (1 + z)^(3/8))) (4 (16128 + 53312 z + 61505 z^2 + 26814 z^3 + 2040 z^4 - 255 z^5) Cos[(3 ArcTan[Sqrt[z]])/4] + Sqrt[z] (48384 + 152880 z + 163837 z^2 + 60898 z^3 + 765 z^4) Sin[(3 ArcTan[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