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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/07.23.03.5624.01









  


  








Input Form





Hypergeometric2F1[-(13/3), 6, 11/3, -z] == (1/(43046721 z^(8/3))) (4 (3 z^(2/3) (-455 + 6552 z + 3460350 z^2 + 22175660 z^3 + 49150530 z^4 + 45645600 z^5 + 15215200 z^6) - 910 (1 + z)^2 (1 - 16 z + 304 z^2 + 6688 z^3 + 20900 z^4 + 16720 z^5) Log[1 + z^(1/3)] + 910 (-1)^(1/3) (1 + z)^2 (1 - 16 z + 304 z^2 + 6688 z^3 + 20900 z^4 + 16720 z^5) Log[1 - (-1)^(1/3) z^(1/3)] - 910 (-1)^(2/3) (1 + z)^2 (1 - 16 z + 304 z^2 + 6688 z^3 + 20900 z^4 + 16720 z^5) 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