Borel summation

noun

A summation method for divergent series, particularly useful for summing divergent asymptotic series, and in some sense giving the best possible sum for such series.

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Meanings

nounBorel summation (usually uncountable, plural Borel summations)

plural Borel summations

  1. uncountableusuallymathematicsA summation method for divergent series, particularly useful for summing divergent asymptotic series, and in some sense giving the best possible sum for such series.

Origin

Introduced by Émile Borel in 1899.

Full word history & related roots →

Translations

Finnish Borelin yhteenlasku, Borelin summakaava
  • Borelin yhteenlaskuTranslations
  • Borelin summakaavaTranslations
German Borel-Summation, Borel-Summierung
  • Borel-SummationTranslations
  • Borel-SummierungTranslations
Polish suma borelowska
  • suma borelowskaTranslations
Cite this entry
APA

Borel summation. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Borel%20summation

MLA

“Borel summation.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Borel%20summation. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “Borel summation,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Borel%20summation.

Source: Borel summation on Wiktionary, CC BY-SA 4.0.