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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=45/8





http://functions.wolfram.com/07.23.03.c7mu.01









  


  








Input Form





Hypergeometric2F1[19/8, 45/8, 11/2, z] == (1/(2608463 (-1 + z)^2 z^(9/2))) (1024 (4 Sqrt[z] (1680 - 2090 z - 176 z^2 + 55 z^3 + 990 z^4) Cos[(3 ArcSin[Sqrt[z]])/4] + ((-8960 + 18800 z - 8283 z^2 - 1309 z^3 - 1760 z^4 + 3960 z^5) Sin[(3 ArcSin[Sqrt[z]])/4])/Sqrt[1 - z]))








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