Mittag-Leffler summation

Summary

Mittag-Leffler summation is a summability method that divides the $k$-th term of a series by $\Gamma(1 + \alpha k)$ and lets $\alpha$ decrease to $0$. Here $\Gamma$ is the gamma function. For $\alpha = 1$ the divided series is an exponential series, and the method is related to Borel summation. Applied to the Taylor series of an analytic function, it sums the series in the Mittag-Leffler star of the function.