abel sum

Fetched 2026-10-26 (cache).

Datamuse reports no synonyms or antonyms for this word.

Noun

1. {{lb|en|analysis}} Given a [[power series]] <math>f(x)= \sum_{n=0}^\infty a_n x^n</math> that is [[convergent]] for [[real]] ''x'' in the [[open interval]] (0, 1), the value <math>\lim_{x \rightarrow 1^{-}} \sum_{n=0}^\infty a_n x^n</math>, which is assigned to <math>f(1)=\sum_{n=0}^\infty a_n</math> by the [[Abel summation method]] (or ''[[A-method]]'').

Source: Wiktionary · CC BY-SA 4.0 (Wiktionary dump) · cached copy, not a rewrite.