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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.bi8b.01









  


  








Input Form





Hypergeometric2F1[-(27/8), 41/8, -(7/4), z] == (2380 (1 + Sqrt[1 - z]) + 85 (177 + 191 Sqrt[1 - z]) z + 935 (166 + 175 Sqrt[1 - z]) z^2 - 7 (748973 + 293552 Sqrt[1 - z]) z^3 + 224 (92819 + 22508 Sqrt[1 - z]) z^4 - 1792 (18131 + 2600 Sqrt[1 - z]) z^5 + 372736 (61 + 4 Sqrt[1 - z]) z^6 - 5963776 z^7)/ (2380 2^(3/4) (1 + Sqrt[1 - z])^(1/4) (1 - z)^(7/2))








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