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Asymptotic behavior of solutions of general three term recurrence relations

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URI: https://hdl.handle.net/10016/6280
ISSN: 1019-7168 (Print)
ISSN: 1572-9044 (Online)
DOI: 10.1007/s10444-004-4137-x
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asymptotic_lagomasino_ca_2007_ps.pdf (240.46 KB)
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2007-01
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Springer
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Abstract
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.
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29 pages, no figures.-- MSC2000 code: 30E10.-- Dedicated to Mariano Gasca on his 60th anniversary.
MR#: MR2350341
Zbl#: Zbl 1160.39001
Keywords
Recurrence relations, Ratio asymptotic, Strong asymptotic
Bibliographic citation
Advances in Computational Mathematics, 2007, vol. 26, n. 1-3, p. 9-37
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