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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=-19/8, b>=a > For fixed z and a=-19/8, b=9/8





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









  


  










Input Form





Hypergeometric2F1[-(19/8), 9/8, 11/2, -z] == -((1024 (8 Sqrt[z] (280 + 1865 z + 5236 z^2 + 7865 z^3 + 4059 z^4 + 3582 z^5 + 1377 z^6 + 216 z^7) Cos[(5 ArcTan[Sqrt[z]])/4] - (1792 + 11600 z + 31327 z^2 + 44396 z^3 + 28666 z^4 + 38412 z^5 + 14175 z^6 + 2160 z^7) Sin[(5 ArcTan[Sqrt[z]])/4]))/ (14376219 z^(9/2) (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