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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=25/8, b>=a > For fixed z and a=25/8, b=45/8





http://functions.wolfram.com/07.23.03.c9xl.01









  


  








Input Form





Hypergeometric2F1[25/8, 45/8, 3/2, -z] == (1/(7511 Sqrt[z] (1 + z)^(57/8))) (4 (Sqrt[z] (1809 - 7301 z + 2275 z^2 + 201 z^3 + 16 z^4) Cos[ArcTan[Sqrt[z]]/4] + (275 - 4979 z + 5901 z^2 - 49 z^3 - 4 z^4) Sin[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