The Whittaker function \(M_{\kappa,\mu}\) as a function of \(\kappa\)
type: Item
instance of: scholarly article
title: The Whittaker function \(M_{\kappa,\mu}\) as a function of \(\kappa\)
zbMATH Open document ID: 0923.41011
published in: Constructive Approximation
publication date: 1999-10-18T00:00:00Z
review text: The well-known Whittaker function \(M_{\kappa ,\mu }(z)\) for the value of the parameter \(\kappa =c/z\) is closely related to the Coulombian solution of the Schrödinger equation. The authors give a convergent series for \(M_{\kappa ,\mu }(z)\) in ascending powers of \(\kappa \) and its asymptotic expansion in descending powers of \(\kappa \). The coefficients of the first expansion are analyzed in both the cases of small and large values of \(| z| \).
Mathematics Subject Classification ID: 41A30
Mathematics Subject Classification ID: 33E30
Mathematics Subject Classification ID: 33C15
zbMATH DE Number: 1271884
zbMATH Keywords: Whittaker function
zbMATH Keywords: confluent hypergeometric function
zbMATH Keywords: Buchholz polynomials
author: José L. López
author: J. Sesma
reviewed by: Alexei Lukashov
MaRDI profile type: Publication
full work available at URL: s003659900098
OpenAlex ID: W1981077611
DOI: 10.1007/S003659900098
description: scientific article; zbMATH DE number 1271884