radius of convergence

English

Noun

radius of convergence (plural radii of convergence)

1. for a power series $\sum _{n=0}^{\infty }c_{n}(z-a)^{n}$, the unique number $R=[0,\infty ]$ such that the sum is convergent for $|z-a|<R$, and divergent for $|z-a|>R$

Translations

radius of open where series is convergent

• Danish: konvergensradius c