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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=33/8





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









  


  










Input Form





Hypergeometric2F1[-(19/8), 33/8, -(11/4), z] == (14280 (1 + Sqrt[1 - z]) - 7140 (2 + Sqrt[1 - z]) z - 255 (53 + 60 Sqrt[1 - z]) z^2 - 2550 (19 + 22 Sqrt[1 - z]) z^3 + (765101 + 217924 Sqrt[1 - z]) z^4 - 224 (6371 + 936 Sqrt[1 - z]) z^5 + 16128 (63 + 4 Sqrt[1 - z]) z^6 - 258048 z^7)/ (14280 2^(3/4) (1 + Sqrt[1 - z])^(1/4) (1 - z)^(9/2))










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