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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=-43/8





http://functions.wolfram.com/07.23.03.b4mg.01









  


  








Input Form





Hypergeometric2F1[-(47/8), -(43/8), 9/2, -z] == (256 (Sqrt[z] (16 + 529 z + 11592 z^2 + 9618908 z^3 - 71370728 z^4 + 146664102 z^5 - 105567112 z^6 + 26435036 z^7 - 1868136 z^8 + 16401 z^9) Cos[ArcTan[Sqrt[z]]/4] - 8 (8 + 267 z + 5878 z^2 + 198394 z^3 - 3975114 z^4 + 14676376 z^5 - 17670926 z^6 + 7588566 z^7 - 1055398 z^8 + 32013 z^9) Sin[ArcTan[Sqrt[z]]/4]))/(2361779145 z^(7/2) (1 + z)^(1/8))








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