On some inequalities for the two-parameter Mittag-Leffler function in the complex plane

Roberto Garrappa, Stefan Gerhold, Marina Popolizio +1

For the two-parameter Mittag-Leffler function $E_{\hat{I}\pm ,{\hat{I}}^2}$ with $\hat{I}\pm >0$ and ${\hat{I}}^2\ge 0,$ we consider the question whether $|E_{\hat{I}\pm ,{\hat{I}}^2}(z)|$ and $E_{\hat{I}\pm ,{\hat{I}}^2}(\Re z)$ are comparable on the…