Asymptotic behavior of solutions of general three term recurrence relations

We consider the solutions of general three term recurrence relations whose coefficients are analytic functions in a prescribed region. We study the ratio asymptotic of such solutions under the assumption that the coefficients are asymptotically periodic, and their strong asymptotic under more restri...

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Bibliographic Details
Published inAdvances in computational mathematics Vol. 26; no. 1-3; pp. 9 - 37
Main Authors Barrios Rolania, D, Lopez Lagomasino, G
Format Journal Article
LanguageEnglish
Published 01.01.2007
Subjects
Analytic functions
Asymptotic properties
Computation
Mathematical analysis
Mathematical models
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Summary:We consider the solutions of general three term recurrence relations whose coefficients are analytic functions in a prescribed region. We study the ratio asymptotic of such solutions under the assumption that the coefficients are asymptotically periodic, and their strong asymptotic under more restrictive conditions.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:1019-7168
1572-9044
DOI:10.1007/s10444-004-4137-x