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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=41/8, b>=a > For fixed z and a=41/8, b=45/8





http://functions.wolfram.com/07.23.03.cdn1.01









  


  








Input Form





Hypergeometric2F1[41/8, 45/8, 3/2, -z] == (1/(37 Sqrt[z] (1 + z)^(73/8))) (4 (Sqrt[z] (9 - 84 z + 126 z^2 - 36 z^3 + z^4) Cos[ArcTan[Sqrt[z]]/4] + (1 - 36 z + 126 z^2 - 84 z^3 + 9 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