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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=13/8





http://functions.wolfram.com/07.23.03.b577.01









  


  








Input Form





Hypergeometric2F1[-(47/8), 13/8, -(7/2), -z] == (1/(8960 (1 + z)^(1/8))) ((8960 - 23600 z + 59923 z^2 - 188272 z^3 + 1276800 z^4 + 5978112 z^5 + 4472832 z^6) Cos[ArcTan[Sqrt[z]]/4] - Sqrt[z] (-2240 + 6600 z - 17227 z^2 + 53088 z^3 + 1145088 z^4 + 1118208 z^5) Sin[ArcTan[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