Disquisitio ulterior super seriebus secundum multipla cuiusdam anguli progredientibus

Authors

Leonhard Euler

Enestrom Number

704

Fuss Index

151

Original Language

Latin

Content Summary

Euler begins with a cosine series f(φ) = a₀ + a₁∙cos(φ) + a₂∙cos(2φ) + a₃∙cos(3φ) + ... and shows that, for each n≥0, a_n = 2/π ∙∫ f(φ) dφ, where the integral in question is evaluated with bounds at 0 and π.

Published as

Journal article

Published Date

1798

Written Date

1777

Original Source Citation

Nova Acta Academiae Scientiarum Imperialis Petropolitanae, Volume 11, pp. 114-132.

Opera Omnia Citation

Series 1, Volume 16A, pp.333-354.

Record Created

2018-09-25