Abel sums

A form of Abel sum — Given a power series f(x)=∑ₙ₌₀ ᪲a_nxⁿ that is convergent for real x in the open interval (0, 1), the value lim _(x→1⁻)∑ₙ₌₀ ᪲a_nxⁿ, which is assigned to f(1)=∑ₙ₌₀ ᪲a_n by the Abel summation method (or A-method).

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Meanings

noun
  1. pluralplural of Abel sum
Cite this entry
APA

Abel sums. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/Abel%20sums

MLA

“Abel sums.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Abel%20sums. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “Abel sums,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/Abel%20sums.

Source: Abel sums on Wiktionary, CC BY-SA 4.0.