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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=3/5, b>=a > For fixed z and a=3/5, b=3





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









  


  








Input Form





Hypergeometric2F1[3/5, 3, 13/5, -z] == (12/625) (25/(1 + z) + (1/z^(3/5)) (14 (Log[1 + z^(1/5)] + (-1)^(2/5) Log[1 - (-1)^(1/5) z^(1/5)] + (-1)^(4/5) Log[1 + (-1)^(2/5) z^(1/5)] - (-1)^(1/5) Log[1 - (-1)^(3/5) z^(1/5)] - (-1)^(3/5) Log[1 + (-1)^(4/5) z^(1/5)])) + (1/z^(8/5)) (2 (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