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On Hankel matrices commuting with Jacobi matrices from the Askey scheme

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21240%2F20%3A00337228" target="_blank" >RIV/68407700:21240/20:00337228 - isvavai.cz</a>

  • Alternative codes found

    RIV/68407700:21340/20:00337228

  • Result on the web

    <a href="https://doi.org/10.1016/j.laa.2020.01.016" target="_blank" >https://doi.org/10.1016/j.laa.2020.01.016</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1016/j.laa.2020.01.016" target="_blank" >10.1016/j.laa.2020.01.016</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    On Hankel matrices commuting with Jacobi matrices from the Askey scheme

  • Original language description

    A complete characterization is provided of Hankel matrices commuting with Jacobi matrices which correspond to hypergeometric orthogonal polynomials from the Askey scheme. It follows, as the main result of the paper, that the generalized Hilbert matrix is the only prominent infinite-rank Hankel matrix which, if regarded as an operator on l2(N0), is diagonalizable by application of the commutator method with Jacobi matrices from the mentioned families.

  • Czech name

  • Czech description

Classification

  • 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

Result continuities

  • 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)

Others

  • Publication year

    2020

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Linear Algebra and Its Applications

  • ISSN

    0024-3795

  • e-ISSN

    1873-1856

  • Volume of the periodical

    591

  • Issue of the periodical within the volume

    April

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    33

  • Pages from-to

    235-267

  • UT code for WoS article

    000517849200015

  • EID of the result in the Scopus database

    2-s2.0-85077808288