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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.bfbo.01









  


  








Input Form





Hypergeometric2F1[-(31/8), 21/8, -(11/2), -z] == (1/(135168 (1 + z)^(33/8))) ((135168 + 303360 z + 122720 z^2 - 38883 z^3 + 30290 z^4 - 38883 z^5 + 122720 z^6 + 303360 z^7 + 135168 z^8) Cos[ArcTan[Sqrt[z]]/4] - 4 Sqrt[z] (-8448 - 16320 z - 3263 z^2 + 2470 z^3 - 2470 z^4 + 3263 z^5 + 16320 z^6 + 8448 z^7) 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