Exponential asymptotics of the Mittag-Leffler function
type: Item
instance of: scholarly article
title: Exponential asymptotics of the Mittag-Leffler function
zbMATH Open document ID: 1025.33009
author: Yuqiu Zhao
author: Roderick Wong
published in: Constructive Approximation
publication date: 2003-07-15T00:00:00Z
review text: The authors give a very detailed analysis of asymptotic behaviour (near infinity) of the Mittag-Leffler function \(E_{\alpha,\beta}\), thereby putting special emphasis on possible occurrence of exponentially small additional terms after the algebraically decaying terms. They obtain uniform asymptotic expansions away from the Stokes lines, and furthermore they show the Stokes lines to be spirals if the parameter \(\alpha\) is not real.
Mathematics Subject Classification ID: 33E12
Mathematics Subject Classification ID: 41A60
zbMATH DE Number: 1885726
zbMATH Keywords: Mittag-Leffler functions
zbMATH Keywords: exponential asymptotics
zbMATH Keywords: Stokes lines
reviewed by: Rudolf Gorenflo
MaRDI profile type: Publication
full work available at URL: s00365-001-0019-3
OpenAlex ID: W236966125
DOI: 10.1007/S00365-001-0019-3
description: scientific article; zbMATH DE number 1885726