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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.b5ct.01









  


  








Input Form





Hypergeometric2F1[-(47/8), 21/8, 9/2, -z] == (256 (Sqrt[z] (536176 + 1642039 z - 938308 z^2 + 109849738 z^3 + 395862252 z^4 + 661589047 z^5 + 633641568 z^6 + 359014656 z^7 + 112594944 z^8 + 15138816 z^9) Cos[ArcTan[Sqrt[z]]/4] - 8 (268088 + 904797 z - 234577 z^2 + 1642039 z^3 + 8369351 z^4 + 16109996 z^5 + 16868754 z^6 + 10204656 z^7 + 3370752 z^8 + 473088 z^9) Sin[ArcTan[Sqrt[z]]/4]))/(27177092415 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