Category:Trigonometric Series

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This category contains results about Trigonometric Series.
Definitions specific to this category can be found in Definitions/Trigonometric Series.

A trigonometric series is a series of the type:

$S \left({x}\right) = \dfrac {a_0} 2 + \displaystyle \sum_{n \mathop = 1}^\infty \left({a_n \cos n x + b_n \sin n x}\right)$


the domain of $x$ is the set of real numbers $\R$
the coefficients $a_0, a_1, a_2, \ldots, a_n, \ldots; b_1, b_2, \ldots, b_n, \ldots$ are real numbers independent of $x$.