Convergence interval

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of a power series with real centre

The (open) interval of real values of the argument with the property that the power series converges at each point of it, while it diverges at every point outside it that is not a boundary point.

How to Cite This Entry:
Convergence interval. BSE-3 (originator), Encyclopedia of Mathematics. URL:
This text originally appeared in Encyclopedia of Mathematics - ISBN 1402006098