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nLab > Latest Changes: cotangent function

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  1.  
    • CommentRowNumber1.
    • CommentAuthorTodd_Trimble
    • CommentTimeMay 10th 2019

    Stub following the same pattern as tangent function.

    v1, current

    • CommentRowNumber2.
    • CommentAuthorTodd_Trimble
    • CommentTimeMay 10th 2019

    Added remarks on the series expansion of the cotangent.

    diff, v2, current

    • CommentRowNumber3.
    • CommentAuthorDavidRoberts
    • CommentTimeMay 11th 2019

    That’s a cool series expansion, and I’m tempted to write it as

    cot(πx)=∑n∈ℤ1x−n
    • CommentRowNumber4.
    • CommentAuthorDavidRoberts
    • CommentTimeMay 11th 2019

    Added missing factor of π in infinite sum expression.

    diff, v4, current

    • CommentRowNumber5.
    • CommentAuthorTodd_Trimble
    • CommentTimeMay 11th 2019

    Yes, and people often do suggestively write the sum like that, although the convergence is less apparent when written that way.

    Thanks for spotting that missing π on the left.

    • CommentRowNumber6.
    • CommentAuthorDavidRoberts
    • CommentTimeMay 11th 2019
    • (edited May 12th 2019)

    It was John B who pointed it out when I tweeted the cute but incorrect version earlier :-)

    • CommentRowNumber7.
    • CommentAuthorTodd_Trimble
    • CommentTimeJun 7th 2023

    Added, among other things, the relation to Bernoulli numbers.

    diff, v8, current

1 to 7 of 7

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