New Explicitly Diagonalizable Hankel Matrices Related to the Stieltjes-Carlitz Polynomials

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F21%3A00350372" target="_blank" >RIV/68407700:21340/21:00350372 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s00020-021-02638-4" target="_blank" >https://doi.org/10.1007/s00020-021-02638-4</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00020-021-02638-4" target="_blank" >10.1007/s00020-021-02638-4</a>

Result language
angličtina
Original language name
New Explicitly Diagonalizable Hankel Matrices Related to the Stieltjes-Carlitz Polynomials
Original language description
Four new examples of explicitly diagonalizable Hankel matrices depending on a parameter k is an element of $(0,1)$ are presented. The Hankel matrices are regarded as matrix operators on the Hilbert space $ell^{2}(mathbb{N}_{0})$ and the solution of the spectral problem is based on an application of the commutator method. Each of the Hankel matrices commutes with a Jacobi matrix which is related to a particular family of the Stieltjes-Carlitz polynomials. More examples of explicitly diagonalizable structured matrix operators are obtained when taking into account also weighted Hankel matrices.
Czech name
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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
<a href="/en/project/EF16_019%2F0000778" target="_blank" >EF16_019/0000778: Center for advanced applied science</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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