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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=4





http://functions.wolfram.com/07.23.03.4856.01









  


  








Input Form





Hypergeometric2F1[-(17/3), 4, -(2/3), -z] == (1/59049) (-3 (-19683 + 669222 z + 15359330 z^2 + 62301855 z^3 + 86708160 z^4 + 39139100 z^5) - 52360 z^(5/3) (154 + 1309 z + 3570 z^2 + 3910 z^3 + 1495 z^4) Log[1 + z^(1/3)] - 52360 (-1)^(2/3) z^(5/3) (154 + 1309 z + 3570 z^2 + 3910 z^3 + 1495 z^4) Log[1 - (-1)^(1/3) z^(1/3)] + 52360 (-1)^(1/3) z^(5/3) (154 + 1309 z + 3570 z^2 + 3910 z^3 + 1495 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