The Hurwitz-type theorem for the regular Coulomb wave function via Hankel determinants
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21240%2F18%3A00321579" target="_blank" >RIV/68407700:21240/18:00321579 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0024379518301228?via%3Dihub" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0024379518301228?via%3Dihub</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.laa.2018.03.012" target="_blank" >10.1016/j.laa.2018.03.012</a>
Alternative languages
Result language
angličtina
Original language name
The Hurwitz-type theorem for the regular Coulomb wave function via Hankel determinants
Original language description
We derive a closed formula for the determinant of the Hankel matrix whose entries are given by sums of negative powers of the zeros of the regular Coulomb wave function. This new identity applied together with results of Grommer and Chebotarev allows us to prove a Hurwitz-type theorem about the zeros of the regular Coulomb wave function. As a particular case, we obtain a new proof of the classical Hurwitz's theorem from the theory of Bessel functions that is based on algebraic arguments. In addition, several Hankel determinants with entries given by the Rayleigh function and Bernoulli numbers are also evaluated.
Czech name
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Czech description
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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
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2018
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
548
Issue of the periodical within the volume
July
Country of publishing house
US - UNITED STATES
Number of pages
14
Pages from-to
259-272
UT code for WoS article
000430902300014
EID of the result in the Scopus database
2-s2.0-85043515663