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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=-31/8, b>=a > For fixed z and a=-31/8, b=21/8





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









  


  








Input Form





Hypergeometric2F1[-(31/8), 21/8, 3/2, -z] == (1/(40755 Sqrt[z] (1 + z)^(1/8))) (4 (Sqrt[z] (10367 + 73323 z + 161056 z^2 + 143104 z^3 + 45056 z^4) Cos[ArcTan[Sqrt[z]]/4] - (713 + 10777 z + 31108 z^2 + 32256 z^3 + 11264 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