Mittag-Leffler function

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Mittag-Leffler function

Wikipedia

Etymology

Named after Gösta Mittag-Leffler.

Proper noun

the Mittag-Leffler function

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

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