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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=-4/3, b>=a > For fixed z and a=-4/3, b=6





http://functions.wolfram.com/07.23.03.6994.01









  


  








Input Form





Hypergeometric2F1[-(4/3), 6, 17/3, -z] == (1/(71744535 z^(14/3))) (154 (3 z^(2/3) (-220 + 568 z - 1297 z^2 + 3380 z^3 + 140140 z^4 + 138320 z^5) - 20 (22 - 48 z + 105 z^2 - 280 z^3 + 1365 z^4 + 8736 z^5 + 6916 z^6) Log[1 + z^(1/3)] + 20 (-1)^(1/3) (22 - 48 z + 105 z^2 - 280 z^3 + 1365 z^4 + 8736 z^5 + 6916 z^6) Log[1 - (-1)^(1/3) z^(1/3)] - 20 (-1)^(2/3) (22 - 48 z + 105 z^2 - 280 z^3 + 1365 z^4 + 8736 z^5 + 6916 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