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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=-39/8, b>=a > For fixed z and a=-39/8, b=21/8





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









  


  








Input Form





Hypergeometric2F1[-(39/8), 21/8, 3/2, z] == (1/(134805 Sqrt[z])) (2 ((1 + Sqrt[z])^(15/4) (2139 + 25680 Sqrt[z] - 156192 z + 159360 z^(3/2) + 352000 z^2 - 878592 z^(5/2) + 675840 z^3 - 180224 z^(7/2)) - (1 - Sqrt[z])^(15/4) (2139 - 25680 Sqrt[z] - 156192 z - 159360 z^(3/2) + 352000 z^2 + 878592 z^(5/2) + 675840 z^3 + 180224 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