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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=-10/3, b>=a > For fixed z and a=-10/3, b=5





http://functions.wolfram.com/07.23.03.6089.01









  


  










Input Form





Hypergeometric2F1[-(10/3), 5, 2/3, -z] == (1/59049) ((59049 + 1439724 z + 6472440 z^2 + 9647820 z^3 + 4564560 z^4)/ (1 + z) - 1820 z^(1/3) (35 + 420 z + 1140 z^2 + 836 z^3) Log[1 + z^(1/3)] + 1820 (-1)^(1/3) z^(1/3) (35 + 420 z + 1140 z^2 + 836 z^3) Log[1 - (-1)^(1/3) z^(1/3)] - 1820 (-1)^(2/3) z^(1/3) (35 + 420 z + 1140 z^2 + 836 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