On the asymptotics of Wright functions of the second kind

DOI10.1515/fca-2021-0003zbMath1474.30015arXiv2103.04284OpenAlexW3134276148MaRDI QIDQ2020224

Armando Consiglio, Francesco Mainardi, Richard B. Paris

Publication date: 23 April 2021

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

Full work available at URL: https://arxiv.org/abs/2103.04284

zbMATH Keywords

asymptotic expansionsWright functionexponentially small expansionsauxiliary Wright function

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Power series (including lacunary series) in one complex variable (30B10) Generalized hypergeometric series, ({}_pF_q) (33C20) Asymptotic expansions of solutions to ordinary differential equations (34E05) Asymptotic representations in the complex plane (30E15)

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Best approximation of \((\mathcal{G}_1,\mathcal{G}_2)\)-random operator inequality in matrix Menger Banach algebras with application of stochastic Mittag-Leffler and \(\mathbb{H} \)-Fox control functions ⋮ Wright functions of the second kind and Whittaker functions

Uses Software

• DLMF

Cites Work

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• Asymptotic and structural properties of special cases of the Wright function arising in probability theory
• Exponentially small expansions of the Wright function on the Stokes lines
• Viscoelastic pulse propagation and stable probability distributions
• The Wright Function: Its Properties, Applications, and Numerical Evaluation
• Estimation and Simulation for theM-Wright Function
• Basic Theory
• The Asymptotic Expansion of the Generalized Hypergeometric Function
• THE GENERALIZED BESSEL FUNCTION OF ORDER GREATER THAN ONE