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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=23/8





http://functions.wolfram.com/07.23.03.b5dm.01









  


  








Input Form





Hypergeometric2F1[-(47/8), 23/8, -(3/2), z] == (1/48) ((48 + 539 z + 10193 z^2 - 140824 z^3 + 425776 z^4 - 478400 z^5 + 182528 z^6) Cos[ArcSin[Sqrt[z]]/4] + (1/Sqrt[1 - z]) (Sqrt[z] (12 + 131 z + 50153 z^2 - 305320 z^3 + 642160 z^4 - 569664 z^5 + 182528 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