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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=37/8





http://functions.wolfram.com/07.23.03.b5mp.01









  


  








Input Form





Hypergeometric2F1[-(47/8), 37/8, 9/2, -z] == (256 (Sqrt[z] (-536176 + 2379281 z - 13974087 z^2 + 9445369087 z^3 + 59298484983 z^4 + 153294525648 z^5 + 210069902592 z^6 + 161280835584 z^7 + 65847361536 z^8 + 11176771584 z^9) Cos[ArcTan[Sqrt[z]]/4] - 2 (-1072352 + 4423452 z - 26373157 z^2 + 409638464 z^3 + 4307027391 z^4 + 13687174446 z^5 + 21264084864 z^6 + 17838982656 z^7 + 7794327552 z^8 + 1397096448 z^9) Sin[ArcTan[Sqrt[z]]/4]))/(2364407040105 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