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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=21/8





http://functions.wolfram.com/07.23.03.b5bm.01









  


  








Input Form





Hypergeometric2F1[-(47/8), 21/8, -(11/2), -z] == (1/(135168 (1 + z)^(17/8))) ((135168 - 96000 z + 106080 z^2 - 142363 z^3 + 233779 z^4 - 527904 z^5 + 2745600 z^6 + 10407936 z^7 + 6488064 z^8) Cos[ArcTan[Sqrt[z]]/4] - 2 Sqrt[z] (-16896 + 17280 z - 20046 z^2 + 26195 z^3 - 40248 z^4 + 82368 z^5 + 1047552 z^6 + 811008 z^7) 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