Phrase guide

radius of convergence

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

for a power series ∑n=0 ᪲c_n(z-a)n, the unique number R=[0,∞] such that the sum is convergent for |z-a|R

Definition source: English Wiktionary via Wiktextract

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

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Across languages

Translations

13 source translations are retained for this English entry.

  • Asturian: radio de converxencia — radius of open where series is convergent
  • Catalan: radi de convergència — radius of open where series is convergent
  • Danish: konvergensradius — radius of open where series is convergent
  • French: rayon de convergence — radius of open where series is convergent
  • Galician: raio de converxencia — radius of open where series is convergent
  • Galician: radio de converxencia — radius of open where series is convergent
  • German: Konvergenzradius — radius of open where series is convergent
  • Hungarian: konvergenciasugár — radius of open where series is convergent
  • Italian: raggio di convergenza — radius of open where series is convergent
  • Polish: promień zbieżności — radius of open where series is convergent
  • Portuguese: raio de convergência — radius of open where series is convergent
  • Russian: круг сходи́мости (krug sxodímosti) — radius of open where series is convergent
  • Spanish: radio de convergencia — radius of open where series is convergent