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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=-27/8





http://functions.wolfram.com/07.23.03.b4rk.01









  


  








Input Form





Hypergeometric2F1[-(47/8), -(27/8), 11/2, -z] == (1024 (Sqrt[z] (64 + 1480 z + 18939 z^2 + 206525 z^3 + 68151655 z^4 - 264377919 z^5 + 255436385 z^6 - 68056969 z^7 + 2947725 z^8 + 64515 z^9 + 1584 z^10) Cos[ArcTan[Sqrt[z]]/4] - (256 + 6000 z + 77585 z^2 + 849299 z^3 + 15217785 z^4 - 164330881 z^5 + 303891575 z^6 - 156602055 z^7 + 19469491 z^8 + 16005 z^9 + 396 z^10) Sin[ArcTan[Sqrt[z]]/4]))/(65956101475 z^(9/2) (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