Definition:Functional Series/Region of Convergence
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Definition
Let $S$ be a functional series of an independent variable $x$.
The region of convergence of $S$ is the set of values of $x$ for which $S$ is convergent.
Also see
- Results about regions of convergence can be found here.
Sources
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): functional series
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): functional series