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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=47/8





http://functions.wolfram.com/07.23.03.c7oe.01









  


  








Input Form





Hypergeometric2F1[19/8, 47/8, 1/2, -z] == (1/(9269 (1 + z)^(59/8))) ((9269 - 144657 z + 111895 z^2 + 16933 z^3 + 3144 z^4 + 320 z^5) Cos[(3 ArcTan[Sqrt[z]])/4] - Sqrt[z] (57387 - 184039 z + 12369 z^2 + 2323 z^3 + 240 z^4) 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