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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=-16/3, b>=a > For fixed z and a=-16/3, b=4





http://functions.wolfram.com/07.23.03.5043.01









  


  








Input Form





Hypergeometric2F1[-(16/3), 4, 2/3, z] == (1/177147) (3 (59049 - 1787648 z + 10666760 z^2 - 23771280 z^3 + 22442420 z^4 - 7607600 z^5) - 7280 (-1 + z)^2 z^(1/3) (-28 + 399 z - 1254 z^2 + 1045 z^3) Log[1 - z^(1/3)] + 7280 (-1)^(1/3) (-1 + z)^2 z^(1/3) (-28 + 399 z - 1254 z^2 + 1045 z^3) Log[1 + (-1)^(1/3) z^(1/3)] - 7280 (-1)^(2/3) (-1 + z)^2 z^(1/3) (-28 + 399 z - 1254 z^2 + 1045 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