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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=-14/3, b>=a > For fixed z and a=-14/3, b=4





http://functions.wolfram.com/07.23.03.5395.01









  


  










Input Form





Hypergeometric2F1[-(14/3), 4, 4/3, z] == (1/177147) (3 (46729 - 490966 z + 1433355 z^2 - 1591744 z^3 + 602140 z^4) + (3080 (-1 + z)^2 (-4 + 102 z - 408 z^2 + 391 z^3) Log[1 - z^(1/3)])/ z^(1/3) + (3080 (-1)^(2/3) (-1 + z)^2 (-4 + 102 z - 408 z^2 + 391 z^3) Log[1 + (-1)^(1/3) z^(1/3)])/z^(1/3) - (3080 (-1)^(1/3) (-1 + z)^2 (-4 + 102 z - 408 z^2 + 391 z^3) Log[1 - (-1)^(2/3) z^(1/3)])/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