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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=-10/3, b>=a > For fixed z and a=-10/3, b=1





http://functions.wolfram.com/07.23.03.6003.01









  


  








Input Form





Hypergeometric2F1[-(10/3), 1, -(1/3), -z] == (1/27) (-3 (-9 + 90 z + 245 z^2 + 140 z^3) + 140 z^(4/3) (1 + z)^2 Log[1 + z^(1/3)] - 140 (-1)^(1/3) z^(4/3) (1 + z)^2 Log[1 - (-1)^(1/3) z^(1/3)] + 140 (-1)^(2/3) z^(4/3) (1 + z)^2 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