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Fourier coefficients of
${1 \over {\sin \,\theta }}$ and
${\theta\over {\sin \,\theta }}$
Published online by Cambridge University Press: 11 October 2023
Extract
Recall that for a 2π-periodic function f , the Fourier coefficients on the interval (–Π, Π) are
and the Fourier series for f is
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- © The Authors, 2023 Published by Cambridge University Press on behalf of The Mathematical Association
References
Jameson, Graham and Lord, Nick, Integrals evaluated in terms of Catalan's constant, Math. Gaz. 101 (March 2017) pp. 38–49.CrossRefGoogle Scholar
Stewart, Seán M., A Catalan constant inspired integral odyssey, Math. Gaz. 104 (November 2020) pp. 449–459.CrossRefGoogle Scholar