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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=-29/8, b>=a > For fixed z and a=-29/8, b=31/8





http://functions.wolfram.com/07.23.03.bh1o.01









  


  








Input Form





Hypergeometric2F1[-(29/8), 31/8, 9/2, -z] == (256 (Sqrt[z] (-90480 + 101413 z - 278226 z^2 + 6342393 z^3 + 28467856 z^4 + 43286400 z^5 + 28588032 z^6 + 7028736 z^7) Cos[(3 ArcTan[Sqrt[z]])/4] - (-120640 + 117624 z - 347217 z^2 + 2899130 z^3 + 17638419 z^4 + 29626272 z^5 + 20672256 z^6 + 5271552 z^7) Sin[(3 ArcTan[Sqrt[z]])/4]))/ (1055400885 z^(7/2) (1 + z)^(3/8))








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