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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=5





http://functions.wolfram.com/07.23.03.5594.01









  


  








Input Form





Hypergeometric2F1[-(13/3), 5, -(1/3), -z] == (1/59049) (-((1/(1 + z)) (3 (-19683 + 1259712 z + 18814120 z^2 + 67401360 z^3 + 87867780 z^4 + 38038000 z^5))) + 7280 z^(4/3) (455 + 3705 z + 8151 z^2 + 5225 z^3) Log[1 + z^(1/3)] - 7280 (-1)^(1/3) z^(4/3) (455 + 3705 z + 8151 z^2 + 5225 z^3) Log[1 - (-1)^(1/3) z^(1/3)] + 7280 (-1)^(2/3) z^(4/3) (455 + 3705 z + 8151 z^2 + 5225 z^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