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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=4





http://functions.wolfram.com/07.23.03.6353.01









  


  








Input Form





Hypergeometric2F1[-(8/3), 4, -(5/3), -z] == (1/1215) ((3 (405 - 1377 z + 9639 z^2 + 53669 z^3 + 68068 z^4 + 26180 z^5))/ (1 + z)^3 + 52360 z^(8/3) Log[1 + z^(1/3)] + 52360 (-1)^(2/3) z^(8/3) Log[1 - (-1)^(1/3) z^(1/3)] - 52360 (-1)^(1/3) z^(8/3) 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