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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=41/8





http://functions.wolfram.com/07.23.03.bn2q.01









  


  








Input Form





Hypergeometric2F1[-(19/8), 41/8, 5/4, z] == (2^(1/4) (31636 + 18089 Sqrt[1 - z] - 16 (25391 + 9162 Sqrt[1 - z]) z + 1152 (1151 + 250 Sqrt[1 - z]) z^2 - 6144 (259 + 26 Sqrt[1 - z]) z^3 + 638976 z^4))/(49725 (1 + Sqrt[1 - z])^(1/4) (1 - z)^(3/2))








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