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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=-33/8





http://functions.wolfram.com/07.23.03.b4pb.01









  


  










Input Form





Hypergeometric2F1[-(47/8), -(33/8), -(7/2), z] == (1/1792) ((1792 - 12464 z + 38175 z^2 - 70243 z^3 + 113711 z^4 + 16575 z^5 - 1530 z^6) Cos[ArcSin[Sqrt[z]]/4] - (1/Sqrt[1 - z]) (2 Sqrt[z] (-224 + 1628 z - 5229 z^2 + 10082 z^3 + 1648 z^4 - 8670 z^5 + 765 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