Asymptotic formulae for eigenvalues and eigenfunctions of q-Sturm-Liouville problems
Author | Annaby, Mahmoud H. |
Author | Mansour, Zeinab S. |
Available date | 2015-11-05T07:03:40Z |
Publication Date | 2011 |
Publication Name | Mathematische Nachrichten |
Resource | Wiley Online Library |
Citation | Annaby, M. H. and Mansour, Z. S. (2011), Asymptotic formulae for eigenvalues and eigenfunctions ofq-Sturm-Liouville problems. Math. Nachr., 284:�443�470 |
ISSN | 1522-2616 |
Abstract | We investigate the asymptotic behavior of the eigenvalues and the eigenfunctions of q-Sturm-Liouville eigenvalue problems. For this aim we study the asymptotic behavior of q-trigonometric functions as well as fundamental sets of solutions of the associated second order q-difference equation. As in classical Sturm-Liouville theory, the eigenvalues behave like zeros of q-trigonometric functions and the eigenfunctions behave like q-trigonometric functions. |
Language | en |
Publisher | WILEY-VCH Verlag |
Subject | Sturm-Liouville systems q-difference equations theta functions q-series |
Type | Article |
Issue Number | 4 |
Volume Number | 284 |
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Mathematics, Statistics & Physics [726 items ]