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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=-5/3, b>=a > For fixed z and a=-5/3, b=2





http://functions.wolfram.com/07.23.03.6709.01









  


  








Input Form





Hypergeometric2F1[-(5/3), 2, 16/3, -z] == (1/(118098 z^(13/3))) (13 (3 z^(1/3) (700 + 2765 z + 3565 z^2 + 700 z^3 + 938 z^4 + 280 z^5) + 140 (1 + z)^5 (-5 + 4 z) Log[1 + z^(1/3)] + 140 (-1)^(2/3) (1 + z)^5 (-5 + 4 z) Log[1 - (-1)^(1/3) z^(1/3)] - 140 (-1)^(1/3) (1 + z)^5 (-5 + 4 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