Abel Sum Definition
noun
Given a power series f(x)= \sum_{n=0}^\infty a_n x^n that is convergent for real x in the open interval (0, 1), the value \lim_{x \rightarrow 1^{-}} \sum_{n=0}^\infty a_n x^n, which is assigned to f(1)=\sum_{n=0}^\infty a_n by the Abel summation method (or A-method ).
Wiktionary
Origin of Abel Sum
After Norwegian mathematician Niels Henrik Abel (1802-1829).
From Wiktionary
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