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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=-11/3, b>=a > For fixed z and a=-11/3, b=5





http://functions.wolfram.com/07.23.03.5943.01









  


  










Input Form





Hypergeometric2F1[-(11/3), 5, 7/3, -z] == (1/(531441 z^(4/3))) (3 z^(1/3) (880 + 128527 z + 726495 z^2 + 1199044 z^3 + 602140 z^4) + 440 (-2 + 110 z + 1540 z^2 + 5236 z^3 + 6545 z^4 + 2737 z^5) Log[1 + z^(1/3)] + 440 (-1)^(2/3) (-2 + 110 z + 1540 z^2 + 5236 z^3 + 6545 z^4 + 2737 z^5) Log[1 - (-1)^(1/3) z^(1/3)] - 440 (-1)^(1/3) (-2 + 110 z + 1540 z^2 + 5236 z^3 + 6545 z^4 + 2737 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