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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=-45/8, b>=a > For fixed z and a=-45/8, b=-33/8





http://functions.wolfram.com/07.23.03.b67l.01









  


  










Input Form





Hypergeometric2F1[-(45/8), -(33/8), -(11/2), -z] == (1/(28672 (1 + z)^(3/8))) ((28672 + 123648 z + 204960 z^2 + 158351 z^3 + 52230 z^4 + 3315 z^5 - 340 z^6) Cos[(3 ArcTan[Sqrt[z]])/4] + Sqrt[z] (21504 + 89600 z + 141372 z^2 + 100803 z^3 + 27990 z^4 + 255 z^5) Sin[(3 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