Integral equations for special functions of Heun class
type: Item
instance of: scholarly article
title: Integral equations for special functions of Heun class
zbMATH Open document ID: 0883.34029
author: A. Ya. Kazakov
author: S. Yu. Slavyanov
published in: Methods and Applications of Analysis
publication date: 1997-07-03T00:00:00Z
review text: The authors study integral equations equivalent to boundary problems for the differential equations with regular singular points. A new method of their derivation is proposed which is not as general as the known ones but is efficient in creating integral equations of a certain type. A number of new integral equations are obtained, some related to the double-confluent Heun equation. Formal calculations at the first stage are followed by several rigorous theorems based on the asymptotic behavior at singularities, and on convergence of integrals depending on a parameter.
Mathematics Subject Classification ID: 34B30
Mathematics Subject Classification ID: 33C99
Mathematics Subject Classification ID: 34A25
zbMATH DE Number: 1029214
zbMATH Keywords: integral equations
zbMATH Keywords: boundary problems
zbMATH Keywords: differential equations
zbMATH Keywords: double-confluent Heun equation
zbMATH Keywords: asymptotic behavior at singularities
reviewed by: R. S. Dahiya
MaRDI profile type: Publication
full work available at URL: maa.1996.v3.n4.a3
OpenAlex ID: W2495707176
DOI: 10.4310/MAA.1996.V3.N4.A3
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description: scientific article; zbMATH DE number 1029214