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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=-9/8, b>=a > For fixed z and a=-9/8, b=27/8





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









  


  










Input Form





Hypergeometric2F1[-(9/8), 27/8, 9/2, -z] == -((1/(2915341 z^(7/2) (1 + z)^(7/8))) (256 (Sqrt[z] (5040 + 1323 z - 1218 z^2 - 7381 z^3 + 7440 z^4 + 8960 z^5) Cos[(7 ArcTan[Sqrt[z]])/4] - 4 (720 - 306 z - 273 z^2 + 693 z^3 + 5950 z^4 + 3920 z^5) Sin[(7 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