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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=3





http://functions.wolfram.com/07.23.03.5545.01









  


  








Input Form





Hypergeometric2F1[-(13/3), 3, -(7/3), z] == (1/567) (-((3 (189 + 864 z + 4212 z^2 + 56160 z^3 - 198380 z^4 + 138320 z^5))/(-1 + z)) - 7280 z^(10/3) (-13 + 19 z) Log[1 - z^(1/3)] + 7280 (-1)^(1/3) z^(10/3) (-13 + 19 z) Log[1 + (-1)^(1/3) z^(1/3)] - 7280 (-1)^(2/3) z^(10/3) (-13 + 19 z) 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