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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=-31/8, b>=a > For fixed z and a=-31/8, b=45/8





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









  


  








Input Form





Hypergeometric2F1[-(31/8), 45/8, -(11/2), -z] == (1/(338415616 (1 + z)^(57/8))) ((338415616 + 1059471616 z + 640538080 z^2 - 295146891 z^3 + 339672099 z^4 - 719335981 z^5 + 4577796769 z^6 + 29044211100 z^7 + 52209755136 z^8 + 44485016576 z^9 + 18790154240 z^10 + 3186360320 z^11) Cos[ArcTan[Sqrt[z]]/4] - Sqrt[z] (-84603904 - 238429184 z - 92565564 z^2 + 86748831 z^3 - 111801235 z^4 + 220966109 z^5 + 4671760619 z^6 + 10322145504 z^7 + 9796410624 z^8 + 4448604160 z^9 + 796590080 z^10) Sin[ArcTan[Sqrt[z]]/4])








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