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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/07.23.03.5079.01









  


  








Input Form





Hypergeometric2F1[-(16/3), 6, -(13/3), z] == (1/142155) ((1/(-1 + z)^5) (3 (-47385 - 112995 z - 316386 z^2 - 1129950 z^3 - 6214725 z^4 - 118079775 z^5 + 826720400 z^6 - 1913637440 z^7 + 2097252300 z^8 - 1120219100 z^9 + 235835600 z^10)) + 235835600 z^(16/3) Log[1 - z^(1/3)] - 235835600 (-1)^(1/3) z^(16/3) Log[1 + (-1)^(1/3) z^(1/3)] + 235835600 (-1)^(2/3) z^(16/3) 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