The Nevanlinna parametrization for q-Lommel polynomials in the indeterminate case

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F16%3A00234553" target="_blank" >RIV/68407700:21340/16:00234553 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21240/16:00234553
Result on the web
<a href="http://dx.doi.org/10.1016/j.jat.2015.09.002" target="_blank" >http://dx.doi.org/10.1016/j.jat.2015.09.002</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jat.2015.09.002" target="_blank" >10.1016/j.jat.2015.09.002</a>

Result language
angličtina
Original language name
The Nevanlinna parametrization for q-Lommel polynomials in the indeterminate case
Original language description
The Hamburger moment problem for the q-Lommel polynomials which are related to the Hahn-Exton q-Bessel function is known to be indeterminate for a certain range of parameters. In this paper, the Nevanlinna parametrization for the indeterminate case is provided in an explicit form. This makes it pos- sible to describe all N-extremal measures of orthogonality. Moreover, a linear and quadratic recurrence relation are derived for the moment sequence, and the asymptotic behavior of the moments for large powers is obtained with the aid of appropriate estimates.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
<a href="/en/project/GA13-11058S" target="_blank" >GA13-11058S: Spectral analysis of operators and its applications in quantum mechanics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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