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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=31/8





http://functions.wolfram.com/07.23.03.b5if.01









  


  








Input Form





Hypergeometric2F1[-(47/8), 31/8, -(5/2), z] == (1/(320 Sqrt[1 - z])) (-2 Sqrt[1 - z] (-160 - 1452 z - 11495 z^2 - 174800 z^3 + 1919376 z^4 - 4142592 z^5 + 2499840 z^6) Cos[ArcSin[Sqrt[z]]/4] + Sqrt[z] (80 + 701 z + 5510 z^2 + 1545808 z^3 - 7356384 z^4 + 10785024 z^5 - 4999680 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