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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=29/8





http://functions.wolfram.com/07.23.03.b5ho.01









  


  








Input Form





Hypergeometric2F1[-(47/8), 29/8, 9/2, -z] == (256 (Sqrt[z] (-536176 + 368621 z - 904797 z^2 + 326968867 z^3 + 1617323313 z^4 + 3444684948 z^5 + 4011904512 z^6 + 2677576704 z^7 + 966721536 z^8 + 147062784 z^9) Cos[ArcTan[Sqrt[z]]/4] - (-2144704 + 804264 z - 2982479 z^2 + 32606203 z^3 + 252236787 z^4 + 641451297 z^5 + 832648608 z^6 + 600475392 z^7 + 230191104 z^8 + 36765696 z^9) Sin[ArcTan[Sqrt[z]]/4]))/(81531277245 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