Asymptotic expansions of the Whittaker functions for large order parameter
type: Item
instance of: scholarly article
title: Asymptotic expansions of the Whittaker functions for large order parameter
zbMATH Open document ID: 0961.33003
published in: Methods and Applications of Analysis
publication date: 2000-10-03T00:00:00Z
review text: In this paper the asymptotic expansion of the Whittaker function \(M_{\kappa, \mu}(z)\) for bounded values of \(z\neq 0\) and \(\mu\) and large values of \(\kappa\) in inverse powers of \(\sqrt\kappa\) is derived. An estimate of the remainder is given too. The expansion is not uniform, but it is useful for applications, since the coefficients of the expansion can be calculated in a simple way.
Mathematics Subject Classification ID: 33C15
Mathematics Subject Classification ID: 41A60
zbMATH DE Number: 1513052
zbMATH Keywords: asymptotic expansion
zbMATH Keywords: Whittaker function
author: José L. López
reviewed by: Hans-Jürgen Glaeske
MaRDI profile type: Publication
DOI: 10.4310/MAA.1999.V6.N2.A8
description: scientific article; zbMATH DE number 1513052