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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=-17/3, b>=a > For fixed z and a=-17/3, b=5





http://functions.wolfram.com/07.23.03.4906.01









  


  








Input Form





Hypergeometric2F1[-(17/3), 5, 4/3, z] == (1/19131876) (3 (5225372 - 87424795 z + 413799890 z^2 - 812196539 z^3 + 707634928 z^4 - 227006780 z^5) - (52360 (-1 + z)^2 (22 - 880 z + 6072 z^2 - 13156 z^3 + 8671 z^4) Log[1 - z^(1/3)])/z^(1/3) - (1/z^(1/3)) (52360 (-1)^(2/3) (-1 + z)^2 (22 - 880 z + 6072 z^2 - 13156 z^3 + 8671 z^4) Log[1 + (-1)^(1/3) z^(1/3)]) + (1/z^(1/3)) (52360 (-1)^(1/3) (-1 + z)^2 (22 - 880 z + 6072 z^2 - 13156 z^3 + 8671 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