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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=-15/8, b>=a > For fixed z and a=-15/8, b=-3/8





http://functions.wolfram.com/07.23.03.bok8.01









  


  








Input Form





Hypergeometric2F1[-(15/8), -(3/8), -(9/2), -z] == (1/(3072 (1 + z)^(17/8))) ((3072 + 6912 z + 4500 z^2 + 598 z^3 - 52 z^4) Cos[ArcTan[Sqrt[z]]/4] + Sqrt[z] (768 + 1488 z + 723 z^2 + 13 z^3) 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