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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=16/5, b>=a > For fixed z and a=16/5, b=6





http://functions.wolfram.com/07.23.03.b2wa.01









  


  








Input Form





Hypergeometric2F1[16/5, 6, 21/5, z] == (1/78125) (4 (-((5 (3931 - 1779 z + 426 z^2 - 114 z^3 + 36 z^4))/ (-1 + z)^5) + (1/z^(16/5)) (6 (330 z^(1/5) + 55 z^(6/5) + 30 z^(11/5) + 66 Log[1 - z^(1/5)] + 66 (-1)^(4/5) Log[1 + (-1)^(1/5) z^(1/5)] - 66 (-1)^(3/5) Log[1 - (-1)^(2/5) z^(1/5)] + 66 (-1)^(2/5) Log[1 + (-1)^(3/5) z^(1/5)] - 66 (-1)^(1/5) 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