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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=-8/3, b>=a > For fixed z and a=-8/3, b=3





http://functions.wolfram.com/07.23.03.6320.01









  


  








Input Form





Hypergeometric2F1[-(8/3), 3, 13/3, z] == (1/(177147 z^(10/3))) (7 (3 z^(1/3) (560 - 340 z - 640 z^2 + 4273 z^3 - 4664 z^4 + 1540 z^5) + 40 (-1 + z)^4 (14 + 44 z + 77 z^2) Log[1 - z^(1/3)] + 40 (-1)^(2/3) (-1 + z)^4 (14 + 44 z + 77 z^2) Log[1 + (-1)^(1/3) z^(1/3)] - 40 (-1)^(1/3) (-1 + z)^4 (14 + 44 z + 77 z^2) 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