Hostname: page-component-857557d7f7-nk9cn Total loading time: 0 Render date: 2025-11-21T03:49:40.192Z Has data issue: false hasContentIssue false
  • English
  • Français

Fourier coefficients of ${1 \over {\sin \,\theta }}$ and ${\theta\over {\sin \,\theta }}$

Published online by Cambridge University Press:  11 October 2023

G. J. O. Jameson
G. J. O. Jameson*
Affiliation:
13 Sandown Road, Lancaster LA1 4LN e-mail: pgjameson@talktalk.net
Get access Rights & Permissions [Opens in a new window]

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

Information

Type
Articles
Information
The Mathematical Gazette , Volume 107 , Issue 570 , November 2023 , pp. 412 - 421
Check for updates
Copyright
© The Authors, 2023 Published by Cambridge University Press on behalf of The Mathematical Association

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable

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