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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=-41/8, b>=a > For fixed z and a=-41/8, b=3/8





http://functions.wolfram.com/07.23.03.b8za.01









  


  








Input Form





Hypergeometric2F1[-(41/8), 3/8, 7/2, z] == (1/(947039457 z^(5/2))) (32 ((1 + Sqrt[z])^(33/4) (108240 - 892980 Sqrt[z] + 2960815 z - 4464900 z^(3/2) + 3788400 z^2 - 1901312 z^(5/2) + 532224 z^3 - 64512 z^(7/2)) - (1 - Sqrt[z])^(33/4) (108240 + 892980 Sqrt[z] + 2960815 z + 4464900 z^(3/2) + 3788400 z^2 + 1901312 z^(5/2) + 532224 z^3 + 64512 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