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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=4





http://functions.wolfram.com/07.23.03.6790.01









  


  








Input Form





Hypergeometric2F1[-(5/3), 4, 10/3, z] == (1/(59049 z^(7/3))) (7 (-3 z^(1/3) (20 + 105 z - 1584 z^2 + 1540 z^3) - 20 (1 + 5 z + 60 z^2 - 220 z^3 + 154 z^4) Log[1 - z^(1/3)] - 20 (-1)^(2/3) (1 + 5 z + 60 z^2 - 220 z^3 + 154 z^4) Log[1 + (-1)^(1/3) z^(1/3)] + 20 (-1)^(1/3) (1 + 5 z + 60 z^2 - 220 z^3 + 154 z^4) 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