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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=-27/8, b>=a > For fixed z and a=-27/8, b=41/8





http://functions.wolfram.com/07.23.03.bi8t.01









  


  








Input Form





Hypergeometric2F1[-(27/8), 41/8, 9/4, z] == (2 2^(1/4) (-1311 (-1 + Sqrt[1 - z]) + (389825 + 202352 Sqrt[1 - z]) z - 32 (112311 + 37372 Sqrt[1 - z]) z^2 + 256 (39343 + 8008 Sqrt[1 - z]) z^3 - 53248 (209 + 20 Sqrt[1 - z]) z^4 + 4259840 z^5))/ (1185665 (1 + Sqrt[1 - z])^(1/4) Sqrt[1 - z] 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