On exact Pleijel’s constant for some domains
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F18%3A43953958" target="_blank" >RIV/49777513:23520/18:43953958 - isvavai.cz</a>
Result on the web
<a href="https://www.elibm.org/ft/10011864000" target="_blank" >https://www.elibm.org/ft/10011864000</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.25537/dm.2018v23.799-813" target="_blank" >10.25537/dm.2018v23.799-813</a>
Alternative languages
Result language
angličtina
Original language name
On exact Pleijel’s constant for some domains
Original language description
We provide an explicit expression for the Pleijel constant for the planar disk and some of its sectors, as well as for N-dimensional rectangles. In particular, the Pleijel constant for the disk is equal to 0.4613019... Also, we characterize the Pleijel constant for some rings and annular sectors in terms of asymptotic behavior of zeros of certain cross-products of Bessel functions.
Czech name
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Czech description
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Classification
Type
J<sub>ost</sub> - Miscellaneous article in a specialist periodical
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Documenta Mathematica
ISSN
1431-0635
e-ISSN
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Volume of the periodical
23
Issue of the periodical within the volume
Léto, 2018
Country of publishing house
DE - GERMANY
Number of pages
15
Pages from-to
799-813
UT code for WoS article
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EID of the result in the Scopus database
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