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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=-23/8, b>=a > For fixed z and a=-23/8, b=39/8





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









  


  








Input Form





Hypergeometric2F1[-(23/8), 39/8, 5/2, z] == (1/(9765 z^(3/2))) (16 ((-Sqrt[z]) (-1 - 640 z + 3872 z^2 - 6656 z^3 + 3456 z^4) Cos[ArcSin[Sqrt[z]]/4] - (4 (1 + 29 z - 490 z^2 + 1692 z^3 - 2096 z^4 + 864 z^5) Sin[ArcSin[Sqrt[z]]/4])/Sqrt[1 - z]))








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