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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.bbal.01









  


  








Input Form





Hypergeometric2F1[-(37/8), -(25/8), 3/2, -z] == (1/(1353 Sqrt[z] (1 + z)^(3/8))) (4 (2 Sqrt[z] (183 - 2130 z + 4242 z^2 - 1800 z^3 + 95 z^4 + 2 z^5) Cos[(3 ArcTan[Sqrt[z]])/4] - (37 - 1625 z + 7290 z^2 - 6762 z^3 + 1185 z^4 + 3 z^5) 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