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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=-14/3, b>=a > For fixed z and a=-14/3, b=6





http://functions.wolfram.com/07.23.03.5486.01









  


  








Input Form





Hypergeometric2F1[-(14/3), 6, 1/3, -z] == (1/1062882) ((1/(1 + z)) (3 (354294 + 22051550 z + 181144775 z^2 + 507152415 z^3 + 574561988 z^4 + 227006780 z^5)) + 52360 z^(2/3) (154 + 2464 z + 10626 z^2 + 16744 z^3 + 8671 z^4) Log[1 + z^(1/3)] + 52360 (-1)^(2/3) z^(2/3) (154 + 2464 z + 10626 z^2 + 16744 z^3 + 8671 z^4) Log[1 - (-1)^(1/3) z^(1/3)] - 52360 (-1)^(1/3) z^(2/3) (154 + 2464 z + 10626 z^2 + 16744 z^3 + 8671 z^4) 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