5.3. Functional series 5.3.1. Area of convergence of the functional series

Lecture

Row whose members are functions, is called a functional series.

The set of those values of x for which the functional series converges is called the region of convergence of the series.

In the domain of convergence, its sum is a function of x ; therefore, the sum of a functional series is denoted by S ( x ) .

The greatest use in technology are power series and Fourier series.

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5.3. Functional series 5.3.1. Area of ​​convergence of the functional series