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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 5 and fixed z > For fixed z and a=8/5, b>=a > For fixed z and a=8/5, b=5





http://functions.wolfram.com/07.23.03.b0gn.01









  


  








Input Form





Hypergeometric2F1[8/5, 5, 13/5, z] == (1/3125) (2 (-((5 (-323 + 324 z - 154 z^2 + 28 z^3))/(-1 + z)^4) + (1/z^(8/5)) (28 (5 z^(3/5) + 3 Log[1 - z^(1/5)] + 3 (-1)^(2/5) Log[1 + (-1)^(1/5) z^(1/5)] + 3 (-1)^(4/5) Log[1 - (-1)^(2/5) z^(1/5)] - 3 (-1)^(1/5) Log[1 + (-1)^(3/5) z^(1/5)] - 3 (-1)^(3/5) Log[1 - (-1)^(4/5) z^(1/5)]))))








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