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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=6





http://functions.wolfram.com/07.23.03.6453.01









  


  








Input Form





Hypergeometric2F1[-(8/3), 6, 13/3, -z] == (1/(14348907 z^(10/3))) (7 (3 z^(1/3) (280 - 1990 z + 13720 z^2 + 433279 z^3 + 1015784 z^4 + 602140 z^5) + 40 (-7 + 48 z - 330 z^2 + 6160 z^3 + 39270 z^4 + 62832 z^5 + 30107 z^6) Log[1 + z^(1/3)] + 40 (-1)^(2/3) (-7 + 48 z - 330 z^2 + 6160 z^3 + 39270 z^4 + 62832 z^5 + 30107 z^6) Log[1 - (-1)^(1/3) z^(1/3)] - 40 (-1)^(1/3) (-7 + 48 z - 330 z^2 + 6160 z^3 + 39270 z^4 + 62832 z^5 + 30107 z^6) 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