English Explanatory Dictionary

Abel sum

English dictionary entry

Meanings

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).

Word forms

Abel sum Abel sums

Etymology

After Norwegian mathematician Niels Henrik Abel (1802-1829).

Related words

Abel mean Abel summation method summability method summation method

Derived words

Abel summable Abel summation
This entry uses open data from Wiktionary (CC BY-SA/GFDL). Word forms are used for search and are not indexed as separate pages.
Back to search All on A Russian dictionary Dahl dictionary