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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=-47/8, b>=a > For fixed z and a=-47/8, b=-27/8





http://functions.wolfram.com/07.23.03.b4qr.01









  


  








Input Form





Hypergeometric2F1[-(47/8), -(27/8), -(5/2), -z] == (1/(320 (1 + z)^(1/8))) ((320 + 2568 z + 10021 z^2 + 35623 z^3 - 27297 z^4 - 4059 z^5 - 432 z^6) Cos[ArcTan[Sqrt[z]]/4] + Sqrt[z] (80 + 617 z + 2319 z^2 + 54175 z^3 + 981 z^4 + 108 z^5) 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