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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=-21/8, b>=a > For fixed z and a=-21/8, b=7/8





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









  


  








Input Form





Hypergeometric2F1[-(21/8), 7/8, 11/2, -z] == (1024 (8 Sqrt[z] (840 + 6155 z + 19626 z^2 + 35961 z^3 + 64003 z^4 + 29580 z^5 + 8787 z^6 + 1160 z^7) Cos[(3 ArcTan[Sqrt[z]])/4] - (8960 + 66960 z + 218619 z^2 + 412060 z^3 + 540066 z^4 + 170172 z^5 + 51707 z^6 + 6960 z^7) Sin[(3 ArcTan[Sqrt[z]])/4]))/ (147858095 z^(9/2) (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