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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=-16/3, b>=a > For fixed z and a=-16/3, b=4





http://functions.wolfram.com/07.23.03.5050.01









  


  








Input Form





Hypergeometric2F1[-(16/3), 4, 11/3, -z] == (1/(100442349 z^(8/3))) (3 z^(2/3) (-18200 + 123760 z + 32002761 z^2 + 166862864 z^3 + 347308520 z^4 + 359533200 z^5 + 185245060 z^6 + 38038000 z^7) - 7280 (1 + z)^5 (5 - 57 z + 627 z^2 + 5225 z^3) Log[1 + z^(1/3)] + 7280 (-1)^(1/3) (1 + z)^5 (5 - 57 z + 627 z^2 + 5225 z^3) Log[1 - (-1)^(1/3) z^(1/3)] - 7280 (-1)^(2/3) (1 + z)^5 (5 - 57 z + 627 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