Trigonometric series

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In ​​mathematics​​ , a trigonometric series is any ​​series​​ of the form:

​​^{[ 1]} ​​

It is called a ​​Fourier series​​ when the terms A _n and B _n

where f is an ​​integrable function​​​ .​​^{[ 1]} ​​

It is not that case that every trigonometric series is a Fourier Series. A particular question of interest is given a trigonometric series, for which values of x does the series converge.