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!

arXiv commentSome errors are corrected and citation added

References in corpus (2)

• Fractional Calculus: Integral and Differential Equations of Fractional Order
• Two series expansions for the logarithm of the gamma function involving Stirling numbers and containing only rational coefficients for certain arguments related to ${\pi }^{-1}$

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• A fast semi-discrete Kansa method to solve the two-dimensional spatiotemporal fractional diffusion
• Modified Fractional Logistic Equation
• 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