Asymptotic root distribution of Charlier polynomials with large negative parameter

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F23%3AA0000125" target="_blank" >RIV/47813059:19610/23:A0000125 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21340/23:00371419
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0022247X23000896?via%3Dihub" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0022247X23000896?via%3Dihub</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jmaa.2023.127086" target="_blank" >10.1016/j.jmaa.2023.127086</a>

Result language
angličtina
Original language name
Asymptotic root distribution of Charlier polynomials with large negative parameter
Original language description
We analyze the asymptotic distribution of roots of Charlier polynomials with negative parameter depending linearly on the index. The roots cluster on curves in the complex plane. We determine implicit equations for these curves and deduce the limiting density of the root distribution supported on these curves. The proof is based on a determination of the limiting Cauchy transform in a specific region and a careful application of the saddle point method. The obtained result represents a solvable example of a more general open problem.
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
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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