Trigonometric series
Infinite sum of sines and cosines / From Wikipedia, the free encyclopedia
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This article is about the mathematical concept. For the book by Zygmund, see Trigonometric Series.
In mathematics, a trigonometric series is an infinite series of the form
where is the variable and and are coefficients. It is an infinite version of a trigonometric polynomial.
A trigonometric series is called the Fourier series of the integrable function if the coefficients have the form: