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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=6





http://functions.wolfram.com/07.23.03.5093.01









  


  










Input Form





Hypergeometric2F1[-(16/3), 6, 8/3, z] == (1/(43046721 z^(5/3))) (5 (-3 z^(2/3) (1456 - 2802951 z + 31284336 z^2 - 118526408 z^3 + 201492720 z^4 - 158618460 z^5 + 47167120 z^6) - 1456 (-1 + z)^2 (2 + 95 z - 4180 z^2 + 26125 z^3 - 52250 z^4 + 32395 z^5) Log[1 - z^(1/3)] + 1456 (-1)^(1/3) (-1 + z)^2 (2 + 95 z - 4180 z^2 + 26125 z^3 - 52250 z^4 + 32395 z^5) Log[1 + (-1)^(1/3) z^(1/3)] - 1456 (-1)^(2/3) (-1 + z)^2 (2 + 95 z - 4180 z^2 + 26125 z^3 - 52250 z^4 + 32395 z^5) 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