The asymptotic zero distribution of Lommel polynomials as functions of their order with a variable complex argument

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F20%3AA0000065" target="_blank" >RIV/47813059:19610/20:A0000065 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21340/20:00344081
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0022247X20304005?via%3Dihub" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0022247X20304005?via%3Dihub</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jmaa.2020.124238" target="_blank" >10.1016/j.jmaa.2020.124238</a>

Result language
angličtina
Original language name
The asymptotic zero distribution of Lommel polynomials as functions of their order with a variable complex argument
Original language description
We study the asymptotic distribution of roots of Lommel polynomials as polynomials of the order with a variable and purely imaginary argument. The roots are complex and accumulate on certain curves in the complex plane. We prove existence of the weak limit of corresponding root-counting measures and deduce formulas for the supporting curves and density. The obtained result represents a solvable example of a more general problem which is still open. Numerical illustrations of the main result are also involved.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

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)

Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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