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 $E_{\alpha ,\beta }$ with $\alpha >0$ and $\beta \ge 0,$ we consider the question whether $|E_{\alpha ,\beta }(z)|$ and $E_{\alpha ,\beta }(\Re z)$ are comparable on the whole c…