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Coth






Mathematica Notation

Traditional Notation









Elementary Functions > Coth[z] > Specific values > Values at fixed points





http://functions.wolfram.com/01.22.03.0014.01









  


  










Input Form





Coth[(Pi I)/7] == (2 I 2^(2/3) (7 - 21 I Sqrt[3])^(1/3) + 2 (7 - (I Sqrt[7])/2 - (3 Sqrt[21])/2)^(1/3) (Sqrt[7] + I Sqrt[21]) - 2 Sqrt[7] (7 + (I Sqrt[7])/2 + (3 Sqrt[21])/2)^(1/3) + 2 I Sqrt[21] (7 + (I Sqrt[7])/2 + (3 Sqrt[21])/2)^(1/3) + I (14 - I Sqrt[7] - 3 Sqrt[21])^(2/3) (14 + I Sqrt[7] + 3 Sqrt[21])^ (1/3) - Sqrt[3] (14 - I Sqrt[7] - 3 Sqrt[21])^(2/3) (14 + I Sqrt[7] + 3 Sqrt[21])^(1/3) + I (14 - I Sqrt[7] - 3 Sqrt[21])^(1/3) (14 + I Sqrt[7] + 3 Sqrt[21])^ (2/3) + Sqrt[3] (14 - I Sqrt[7] - 3 Sqrt[21])^(1/3) (14 + I Sqrt[7] + 3 Sqrt[21])^(2/3))/ (2 2^(2/3) 7^(5/6) (1 - 3 I Sqrt[3])^(1/3) - 2 I Sqrt[7] (-I + Sqrt[3]) (7 - (I Sqrt[7])/2 - (3 Sqrt[21])/2)^(1/3) + I (2 Sqrt[7] (I + Sqrt[3]) (7 + (I Sqrt[7])/2 + (3 Sqrt[21])/2)^(1/3) + (14 - 42 I Sqrt[3])^(1/3) ((1 + I Sqrt[3]) (14 - I Sqrt[7] - 3 Sqrt[21])^ (1/3) + I (I + Sqrt[3]) (14 + I Sqrt[7] + 3 Sqrt[21])^(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)





2001-10-29





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