Abel's Summation Formula

Abel's summation formula, introduced by the Norwegian mathematician Niels Henrik Abel, is a technique for computing series that is used heavily in analytic number theory and in the study of special functions. It relates a sum involving a sequence of terms to an integral involving the sequence's partial sums, letting a discrete sum be analyzed with the tools of continuous calculus. The same name is also sometimes applied to two related but distinct ideas, summation by parts and the Abel-Plana formula. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/