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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=39/8





http://functions.wolfram.com/07.23.03.b5nr.01









  


  








Input Form





Hypergeometric2F1[-(47/8), 39/8, 1/2, z] == (1/43) ((43 - 2579 z + 25780 z^2 - 96208 z^3 + 164864 z^4 - 131840 z^5 + 39936 z^6) Cos[ArcSin[Sqrt[z]]/4] + (1/Sqrt[1 - z]) (Sqrt[z] (469 - 9689 z + 59956 z^2 - 164656 z^3 + 225792 z^4 - 151808 z^5 + 39936 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