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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=-41/8





http://functions.wolfram.com/07.23.03.b4ms.01









  


  








Input Form





Hypergeometric2F1[-(47/8), -(41/8), -(9/2), z] == (1/(64512 Sqrt[1 - z])) ((-Sqrt[1 - z]) (-64512 + 433664 z - 1252852 z^2 + 2036799 z^3 - 2090597 z^4 + 1768669 z^5 + 115005 z^6) Cos[ArcSin[Sqrt[z]]/4] + Sqrt[z] (16128 - 113456 z + 344951 z^2 - 593928 z^3 + 647726 z^4 - 186416 z^5 - 115005 z^6) Sin[ArcSin[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