# Mittag-Leffler function

The Mittag-Leffler function $E_{\alpha\beta}$ is a complex function which depends on two complex parameters $\alpha$ and $\beta$. It may be defined by the following series when the real part of $\alpha$ is strictly positive:

 $E_{\alpha\beta}(z)=\sum_{k=0}^{\infty}{z^{k}\over\Gamma(\alpha k+\beta)}$

In this case, the series converges for all values of the argument $z$, so the Mittag-Leffler function is an entire function.

Title Mittag-Leffler function MittagLefflerFunction 2013-03-22 14:54:34 2013-03-22 14:54:34 rspuzio (6075) rspuzio (6075) 5 rspuzio (6075) Definition msc 33E12