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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=-43/8, b>=a > For fixed z and a=-43/8, b=-23/8





http://functions.wolfram.com/07.23.03.b7ih.01









  


  










Input Form





Hypergeometric2F1[-(43/8), -(23/8), 9/2, -z] == (256 (Sqrt[z] (400 + 9065 z + 128005 z^2 + 11406161 z^3 - 57054283 z^4 + 65921635 z^5 - 20036905 z^6 + 890035 z^7 + 25823 z^8 + 816 z^9) Cos[(5 ArcTan[Sqrt[z]])/4] - 2 (160 + 3596 z + 50527 z^2 + 1016540 z^3 - 15841475 z^4 + 36086050 z^5 - 21714823 z^6 + 2986264 z^7 + 16235 z^8 + 510 z^9) Sin[(5 ArcTan[Sqrt[z]])/4]))/(2263316913 z^(7/2) (1 + z)^(5/8))










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