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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=-13/3, b>=a > For fixed z and a=-13/3, b=6





http://functions.wolfram.com/07.23.03.5616.01









  


  








Input Form





Hypergeometric2F1[-(13/3), 6, -(1/3), -z] == (1/177147) (-((1/(1 + z)^2) (3 (-59049 + 4487724 z + 83460920 z^2 + 397314320 z^3 + 774834060 z^4 + 669468800 z^5 + 213012800 z^6))) + 138320 z^(4/3) (91 + 858 z + 2145 z^2 + 1540 z^3) Log[1 + z^(1/3)] - 138320 (-1)^(1/3) z^(4/3) (91 + 858 z + 2145 z^2 + 1540 z^3) Log[1 - (-1)^(1/3) z^(1/3)] + 138320 (-1)^(2/3) z^(4/3) (91 + 858 z + 2145 z^2 + 1540 z^3) Log[1 + (-1)^(2/3) z^(1/3)])








Standard Form





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Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02