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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=-31/8, b>=a > For fixed z and a=-31/8, b=13/8





http://functions.wolfram.com/07.23.03.bf7u.01









  


  








Input Form





Hypergeometric2F1[-(31/8), 13/8, 7/2, z] == (1/(9625077 z^(5/2))) (32 ((1 + Sqrt[z])^(23/4) (-11408 + 65596 Sqrt[z] - 178963 z + 327980 z^(3/2) - 399280 z^2 + 299264 z^(5/2) - 123648 z^3 + 21504 z^(7/2)) + (1 - Sqrt[z])^(23/4) (11408 + 65596 Sqrt[z] + 178963 z + 327980 z^(3/2) + 399280 z^2 + 299264 z^(5/2) + 123648 z^3 + 21504 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