Global Padé approximations of the generalized Mittag-Leffler function and its inverse

Caibin Zeng, YangQuan Chen

This paper proposes a global Padé approximation of the generalized Mittag-Leffler function $E_{\alpha ,\beta }(-x)$ with $x\in [0,+\infty )$. This uniform approximation can account for both the…