Mittag-Leffler function

English

Etymology

Named after Gösta Mittag-Leffler.

Proper noun

the Mittag-Leffler function

1. (complex analysis) A complex function defined as $E_{\alpha ,\beta }(z)=\sum _{k=0}^{\mathrm{\infty }}\frac{z^k}{\mathrm{\Gamma }(\alpha k+\beta )}$, where $\mathrm{\Gamma }(x)$ is the gamma function.

   The Mittag-Leffler function can be used to interpolate continuously between a Gaussian and a Lorentzian function.