On the complex WKB method for a secondary turning point problem
type: Item
instance of: scholarly article
title: On the complex WKB method for a secondary turning point problem
zbMATH Open document ID: 1004.34042
author: Minoru Nakano
published in: Tokyo Journal of Mathematics
publication date: 2003-02-11T00:00:00Z
review text: The paper is devoted to so-called secondary turning point problems. Therefore, WKB solutions to \(n\)th-order differential equations are introduced that can be regarded as generalization of the classical WKB solutions to the one-dimensional Schrödinger equation. Maximal existence regions of the true solutions, whose asymptotic expansions are WKB solutions to the stretched equation, are constructed. Finally, existence theorems of the solutions to the reduced differential equations are proved, and a matching matrix is computed.
Mathematics Subject Classification ID: 34E20
Mathematics Subject Classification ID: 34E05
Mathematics Subject Classification ID: 34M60
zbMATH DE Number: 1744143
zbMATH Keywords: secondary turning point problems
zbMATH Keywords: complex WKB method
zbMATH Keywords: canonical domains
zbMATH Keywords: matching matrix
reviewed by: J. Saurer
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.3836/tjm/1255958179
OpenAlex ID: W2058398162
DOI: 10.3836/TJM/1255958179
description: scientific article; zbMATH DE number 1744143