Asymptotics of the Mittag-Leffler function \(E_a(z)\) on the negative real axis when \(a \rightarrow 1\)

DOI10.1007/S13540-022-00031-5zbMath1503.30092OpenAlexW4224298572WikidataQ114017029 ScholiaQ114017029MaRDI QIDQ2110888

Richard B. Paris

Publication date: 23 December 2022

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13540-022-00031-5

zbMATH Keywords

Mittag-Leffler functionasymptotic expansionStokes linesexponentially small expansion

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Mittag-Leffler functions and generalizations (33E12) Other functions defined by series and integrals (33E20) Asymptotic representations in the complex plane (30E15)

Related Items (1)

A note on a modified fractional Maxwell model

Uses Software

• DLMF

Cites Work

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• Mittag-Leffler functions and their applications
• On Mittag-Leffler-type functions in fractional evolution processes
• The role of the Mittag-Leffler function in fractional modeling
• Uniform, Exponentially improved, Asymptotic Expansions for the Generalized Exponential Integral
• The fundamental solution of the space-time fractional diffusion equation
• Exponential asymptotics of the Mittag–Leffler function
• Uniform asymptotic smoothing of Stokes’s discontinuities
• Mittag-Leffler Functions, Related Topics and Applications

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