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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=4/5, b>=a > For fixed z and a=4/5, b=2





http://functions.wolfram.com/07.23.03.ayr5.01









  


  








Input Form





Hypergeometric2F1[4/5, 2, 24/5, z] == (1/(9375 z^(19/5))) (133 (-1)^(1/5) (36 (-1)^(4/5) (-1 + z)^2 (14 + z) Log[1 - z^(1/5)] + 36 (-1 + z)^2 (14 + z) Log[1 + (-1)^(1/5) z^(1/5)] + (-1)^(1/5) (-36 (-1 + z)^2 (14 + z) Log[1 - (-1)^(2/5) z^(1/5)] + (-1)^(1/5) (36 (-1 + z)^2 (14 + z) Log[1 + (-1)^(3/5) z^(1/5)] + (-1)^(1/5) (5 (-1)^(1/5) z^(4/5) (126 - 187 z + 36 z^2) - 36 (-1 + z)^2 (14 + z) 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