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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=47/8





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









  


  








Input Form





Hypergeometric2F1[-(29/8), 47/8, 9/2, -z] == (256 (Sqrt[z] (-6960 + 47473 z - 327207 z^2 + 16488684 z^3 + 109608960 z^4 + 235293696 z^5 + 209387520 z^6 + 66846720 z^7) Cos[(3 ArcTan[Sqrt[z]])/4] - (-9280 + 61944 z - 426735 z^2 + 6427821 z^3 + 63627552 z^4 + 156310272 z^5 + 149729280 z^6 + 50135040 z^7) Sin[(3 ArcTan[Sqrt[z]])/4]))/ (2974311585 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