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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=47/8





http://functions.wolfram.com/07.23.03.b5t1.01









  


  








Input Form





Hypergeometric2F1[-(47/8), 47/8, 1/2, z] == (1 - 72 z + 840 z^2 - 3584 z^3 + 6912 z^4 - 6144 z^5 + 2048 z^6) Cos[ArcSin[Sqrt[z]]/4] + (4 Sqrt[z] (3 - 73 z + 518 z^2 - 1600 z^3 + 2432 z^4 - 1792 z^5 + 512 z^6) 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