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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=6





http://functions.wolfram.com/07.23.03.5087.01









  


  








Input Form





Hypergeometric2F1[-(16/3), 6, -(1/3), z] == (1/531441) ((1/(-1 + z)) (3 (-177147 - 16828965 z + 378720920 z^2 - 2118716600 z^3 + 4752848100 z^4 - 4646341700 z^5 + 1650849200 z^6)) + 138320 z^(4/3) (364 - 4576 z + 17160 z^2 - 24640 z^3 + 11935 z^4) Log[1 - z^(1/3)] - 138320 (-1)^(1/3) z^(4/3) (364 - 4576 z + 17160 z^2 - 24640 z^3 + 11935 z^4) Log[1 + (-1)^(1/3) z^(1/3)] + 138320 (-1)^(2/3) z^(4/3) (364 - 4576 z + 17160 z^2 - 24640 z^3 + 11935 z^4) 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