Phrase guide

Borel summation

noun · 1 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

Sound

Pronunciation

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1

noun

Meaning 1

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.

Definition source: English Wiktionary via Wiktextract

Usage: uncountable, usually

Topics: mathematics, sciences

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

Introduced by Émile Borel in 1899.

Across languages

Translations

5 source translations are retained for this English entry.

  • Finnish: Borelin yhteenlasku — Translations
  • Finnish: Borelin summakaava — Translations
  • German: Borel-Summation — Translations
  • German: Borel-Summierung — Translations
  • Polish: suma borelowska — Translations