The Mittag-Leffler function

Abstract

We review the function theoretical properties of the Mittag-Leffler function $E_{a,b}\left(z\right)$ in a self-contained manner, but also add new results; more than half is new!

Some errors are corrected and citation added

References in corpus (1)

• Fractional Calculus: Integral and Differential Equations of Fractional Order

Cited by in corpus (4)

• A practical guide to Prabhakar fractional calculus
• Numerical Evaluation of Mittag-Leffler Functions
• Strong convergence of an fractional exponential integrator scheme for the finite element discretization of time-fractional SPDE driven by standard and fractional Brownian motions
• Binet's factorial series and extensions to Laplace transforms