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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=-43/8, b>=a > For fixed z and a=-43/8, b=41/8





http://functions.wolfram.com/07.23.03.b89j.01









  


  








Input Form





Hypergeometric2F1[-(43/8), 41/8, 9/4, z] == (2 2^(1/4) (-394611 (-1 + Sqrt[1 - z]) + 3 (60579842 + 33614757 Sqrt[1 - z]) z - (2569150217 + 1001646092 Sqrt[1 - z]) z^2 + 16 (765414089 + 215802496 Sqrt[1 - z]) z^3 - 3328 (8278783 + 1624092 Sqrt[1 - z]) z^4 + 638976 (50287 + 6188 Sqrt[1 - z]) z^5 - 14483456 (1301 + 76 Sqrt[1 - z]) z^6 + 4402970624 z^7))/(565562205 (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