Full metadata record
| DC pole | Hodnota | Jazyk |
|---|---|---|
| dc.contributor.author | Bobkov, Vladimír | |
| dc.date.accessioned | 2019-03-11T11:00:14Z | - |
| dc.date.available | 2019-03-11T11:00:14Z | - |
| dc.date.issued | 2019 | |
| dc.identifier.citation | BOBKOV, V. Asymptotic relation for zeros of cross-product of Bessel functions and applications. Journal of Mathematical Analysis and Applications, 2019, roč. 472, č. 1, s. 1078-1092. ISSN 0022-247X. | en |
| dc.identifier.issn | 0022-247X | |
| dc.identifier.uri | 2-s2.0-85057886086 | |
| dc.identifier.uri | http://hdl.handle.net/11025/31264 | |
| dc.format | 15 s. | cs |
| dc.format.mimetype | application/pdf | |
| dc.language.iso | en | en |
| dc.publisher | Elsevier | en |
| dc.rights | © Elsevier | en |
| dc.title | Asymptotic relation for zeros of cross-product of Bessel functions and applications | en |
| dc.type | článek | cs |
| dc.type | article | en |
| dc.rights.access | openAccess | en |
| dc.type.version | draft | en |
| dc.description.abstract-translated | Let $a_{\nu,k}$ be the $k$-th positive zero of the cross-product of Bessel functions $J_\nu(R z) Y_\nu(z) - J_\nu(z) Y_\nu(R z)$, where $\nu\geq 0$ and $R>1$. We derive an initial value problem for a first order differential equation whose solution $\alpha(x)$ characterizes the limit behavior of $a_{\nu,k}$ in the following sense: $$ \lim_{k \to \infty} \frac{a_{kx,k}}{k} = \alpha(x), \quad x \geq 0. $$ Moreover, we show that $$ a_{\nu,k} < \frac{\pi k}{R-1} + \frac{\pi \nu}{2 R}. $$ We use $\alpha(x)$ to obtain an explicit expression of the Pleijel constant for planar annuli and compute some of its values. | en |
| dc.subject.translated | cross-product of Bessel functions | en |
| dc.subject.translated | asymptotic of zeros | en |
| dc.subject.translated | upper bound for zeros | en |
| dc.subject.translated | Bessel functions | en |
| dc.subject.translated | eigenvalues | en |
| dc.subject.translated | Pleijel theorem | en |
| dc.identifier.doi | 10.1016/j.jmaa.2018.11.065 | |
| dc.type.status | Peer-reviewed | en |
| dc.identifier.document-number | 456896000054 | |
| dc.identifier.obd | 43924959 | |
| dc.project.ID | GA18-03253S/Diferenciální rovnice se speciálními typy nelinearit | cs |
| dc.project.ID | LO1506/PUNTIS - Podpora udržitelnosti centra NTIS - Nové technologie pro informační společnost | cs |
| Vyskytuje se v kolekcích: | Články / Articles (NTIS) OBD | |
Soubory připojené k záznamu:
| Soubor | Velikost | Formát | |
|---|---|---|---|
| Bobkov_Asymptotic_relation_preprint.pdf | 557,92 kB | Adobe PDF | Zobrazit/otevřít |
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