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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=-1/3, b>=a > For fixed z and a=-1/3, b=5





http://functions.wolfram.com/07.23.03.7359.01









  


  








Input Form





Hypergeometric2F1[-(1/3), 5, 17/3, -z] == (1/(531441 z^(14/3))) (77 (3 z^(2/3) (-220 + 188 z - 195 z^2 + 245 z^3 + 1820 z^4) - 20 (22 - 10 z + 10 z^2 - 14 z^3 + 35 z^4 + 91 z^5) Log[1 + z^(1/3)] + 20 (-1)^(1/3) (22 - 10 z + 10 z^2 - 14 z^3 + 35 z^4 + 91 z^5) Log[1 - (-1)^(1/3) z^(1/3)] - 20 (-1)^(2/3) (22 - 10 z + 10 z^2 - 14 z^3 + 35 z^4 + 91 z^5) 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