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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=-11/3, b>=a > For fixed z and a=-11/3, b=5





http://functions.wolfram.com/07.23.03.5949.01









  


  








Input Form





Hypergeometric2F1[-(11/3), 5, 16/3, -z] == (1/(344373768 z^(13/3))) (13 (3 z^(1/3) (-15400 + 28490 z - 69960 z^2 + 266860 z^3 + 5368048 z^4 + 12271875 z^5 + 10314920 z^6 + 3010700 z^7) + 3080 (1 + z)^4 (5 - 28 z + 102 z^2 - 340 z^3 + 1955 z^4) Log[1 + z^(1/3)] + 3080 (-1)^(2/3) (1 + z)^4 (5 - 28 z + 102 z^2 - 340 z^3 + 1955 z^4) Log[1 - (-1)^(1/3) z^(1/3)] - 3080 (-1)^(1/3) (1 + z)^4 (5 - 28 z + 102 z^2 - 340 z^3 + 1955 z^4) 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