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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=14/5, b>=a > For fixed z and a=14/5, b=5





http://functions.wolfram.com/07.23.03.b298.01









  


  








Input Form





Hypergeometric2F1[14/5, 5, 29/5, -z] == (1/(78125 z^(24/5) (1 + z)^2)) (266 (-1)^(1/5) (36 (-1)^(4/5) (1 + z)^2 (133 - 14 z + 3 z^2) Log[1 + z^(1/5)] + 36 (1 + z)^2 (133 - 14 z + 3 z^2) Log[1 - (-1)^(1/5) z^(1/5)] + (-1)^(1/5) (-36 (1 + z)^2 (133 - 14 z + 3 z^2) Log[1 + (-1)^(2/5) z^(1/5)] + (-1)^(1/5) (36 (1 + z)^2 (133 - 14 z + 3 z^2) Log[1 - (-1)^(3/5) z^(1/5)] + (-1)^(1/5) (5 (-1)^(1/5) z^(4/5) (1197 + 1736 z + 306 z^2 - 108 z^3) - 36 (1 + z)^2 (133 - 14 z + 3 z^2) 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