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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 3 and fixed z > For fixed z and a=5/3, b>=a > For fixed z and a=5/3, b=6





http://functions.wolfram.com/07.23.03.8149.01









  


  








Input Form





Hypergeometric2F1[5/3, 6, 17/3, -z] == (1/(177147 z^(14/3))) (154 ((3 z^(2/3) (220 + 112 z - 75 z^2 + 70 z^3 + 280 z^4))/(1 + z)^2 - 20 (-22 + 24 z - 21 z^2 + 14 z^3) Log[1 + z^(1/3)] + 20 (-1)^(1/3) (-22 + 24 z - 21 z^2 + 14 z^3) Log[1 - (-1)^(1/3) z^(1/3)] - 20 (-1)^(2/3) (-22 + 24 z - 21 z^2 + 14 z^3) Log[1 + (-1)^(2/3) z^(1/3)]))








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