Divergent series
Abel summation

If λ = n, then we obtain the method of Abel summation. Here

where z = exp(− x). Then the limit of f (x) as x approaches 0 through positive reals is the limit of the power series for f (z) as z approaches 1 from below through positive reals, and the Abel sum A (s) is defined as

Abel summation is interesting in part because it is consistent with but more powerful than Cesàro summation: A (s) = C (s) whenever the latter is defined. The Abel sum is therefore regular, linear, stable, and consistent with Cesàro summation.
oulipo:avoid_letter[e], startend:quotation, change_case:capital_word_frequency[9]