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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=-9/8





http://functions.wolfram.com/07.23.03.b4xn.01









  


  








Input Form





Hypergeometric2F1[-(47/8), -(9/8), -(7/2), z] == (1/8960) ((8960 - 17200 z + 2499 z^2 + 1614 z^3 + 4179 z^4 - 11172 z^5 + 5040 z^6) Cos[ArcSin[Sqrt[z]]/4] + (1/Sqrt[1 - z]) (Sqrt[z] (2240 - 5000 z + 1671 z^2 + 606 z^3 + 9135 z^4 - 13692 z^5 + 5040 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