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The sum of a series of cosecants. - MaRDI portal

The sum of a series of cosecants. (Q2614763)

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The sum of a series of cosecants.
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    The sum of a series of cosecants. (English)
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    1935
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    Berechnung einer von \textit{Watson} (Philos. Mag., London, (6) 31 (1916), 111-118; F. d. M. 46, 342 (JFM 46.0342.*)) aufgestellten asymptotischen Formel für \( \sum _{i=1}^{n-1} \Bigl(\sin \frac {i\pi }{n}\Bigr)^{-1}\) mit Hilfe der auf \((\sin x)^{-1} - x^{-1} - (\pi - x)^{-1}\) angewendeten \textit{Euler-MacLaurin}schen Summenformel.
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