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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=-10/3, b>=a > For fixed z and a=-10/3, b=6





http://functions.wolfram.com/07.23.03.6115.01









  


  








Input Form





Hypergeometric2F1[-(10/3), 6, 11/3, z] == (1/(14348907 z^(8/3))) (4 (-3 z^(2/3) (245 + 3038 z - 1146730 z^2 + 5522920 z^3 - 8178170 z^4 + 3803800 z^5) - 70 (7 + 84 z + 1365 z^2 - 29120 z^3 + 103740 z^4 - 130416 z^5 + 54340 z^6) Log[1 - z^(1/3)] + 70 (-1)^(1/3) (7 + 84 z + 1365 z^2 - 29120 z^3 + 103740 z^4 - 130416 z^5 + 54340 z^6) Log[1 + (-1)^(1/3) z^(1/3)] - 70 (-1)^(2/3) (7 + 84 z + 1365 z^2 - 29120 z^3 + 103740 z^4 - 130416 z^5 + 54340 z^6) 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