radius of convergence

noun

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

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Meanings

nounradius of convergence (plural radii of convergence)

plural radii of convergence

  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

Translations

Catalan radi de convergència
  • radi de convergènciaradius of open where series is convergent
Danish konvergensradius
  • konvergensradiusradius of open where series is convergent
French rayon de convergence
  • rayon de convergenceradius of open where series is convergent
German Konvergenzradius
  • Konvergenzradiusradius of open where series is convergent
Hungarian konvergenciasugár
  • konvergenciasugárradius of open where series is convergent
Italian raggio di convergenza
  • raggio di convergenzaradius of open where series is convergent
Polish promień zbieżności
  • promień zbieżnościradius of open where series is convergent
Portuguese raio de convergência
  • raio de convergênciaradius of open where series is convergent
Russian круг сходи́мости
  • круг сходи́мости (krug sxodímosti)radius of open where series is convergent
Spanish radio de convergencia
  • radio de convergenciaradius of open where series is convergent
Cite this entry
APA

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

MLA

“radius of convergence.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/radius%20of%20convergence. Accessed November 4, 2026.

Chicago

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

Source: radius of convergence on Wiktionary, CC BY-SA 4.0.