Abel sum

短语

词形变化

Abel sums 复数 Abel sums

释义与例句

n.
  1. 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).

    数学

    lim _(x→1-0)∑ₙ₌₀ ᪲a_nxⁿ. The existence of the Abel sum is ascertained when the series in question is known to be summable (C, r) for some value of r.

词源

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

来源：wiktionary