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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.b5hs.01









  


  








Input Form





Hypergeometric2F1[-(47/8), 29/8, 11/2, -z] == (1024 (4 Sqrt[z] (-536176 - 1273418 z + 569687 z^2 - 871286 z^3 + 189176356 z^4 + 769310280 z^5 + 1388916189 z^6 + 1403109312 z^7 + 826628352 z^8 + 267091968 z^9 + 36765696 z^10) Cos[ArcTan[Sqrt[z]]/4] - (-8578816 - 23055568 z + 3451633 z^2 - 9785212 z^3 + 83978566 z^4 + 507048180 z^5 + 1069249809 z^6 + 1188212256 z^7 + 749768448 z^8 + 255602688 z^9 + 36765696 z^10) Sin[ArcTan[Sqrt[z]]/4]))/ (751899556815 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