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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/07.23.03.6455.01









  


  








Input Form





Hypergeometric2F1[-(8/3), 6, 16/3, -z] == (1/(43046721 z^(13/3))) (13 (3 z^(1/3) (-560 + 2100 z - 7290 z^2 + 32816 z^3 + 663663 z^4 + 1225224 z^5 + 602140 z^6) + 280 (1 + z)^2 (2 - 11 z + 44 z^2 - 187 z^3 + 1870 z^4 + 4301 z^5) Log[1 + z^(1/3)] + 280 (-1)^(2/3) (1 + z)^2 (2 - 11 z + 44 z^2 - 187 z^3 + 1870 z^4 + 4301 z^5) Log[1 - (-1)^(1/3) z^(1/3)] - 280 (-1)^(1/3) (1 + z)^2 (2 - 11 z + 44 z^2 - 187 z^3 + 1870 z^4 + 4301 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