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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=-27/8





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









  


  










Input Form





Hypergeometric2F1[-(31/8), -(27/8), 7/2, -z] == (1/(3126487 z^(5/2) (1 + z)^(1/8))) (64 (Sqrt[z] (4 + 99 z + 51447 z^2 - 208098 z^3 + 174130 z^4 - 31729 z^5 + 611 z^6) Cos[ArcTan[Sqrt[z]]/4] - (16 + 401 z + 10505 z^2 - 129558 z^3 + 228162 z^4 - 91531 z^5 + 6549 z^6) 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