Home / Dictionary / Abel sum

Abel sum Uncommon

Definition, synonyms and related words

Definitions
Noun
1

Given a power series f(x)=∑ₙ₌₀ ᪲a_nxⁿ that is convergent for real x in the open interval (0, 1), the value lim _(x→1⁻)∑ₙ₌₀ ᪲a_nxⁿ, which is assigned to f(1)=∑ₙ₌₀ ᪲a_n by the Abel summation method (or A-method).

Related Terms
Rhyming Words
sum kusum cusum pisum resum outsum rossum possum yessum sursum dorsum hersum in sum gypsum pensum falsum chisum subsum omasum odd sum
Compare
Abel sum vs