Three-variable symmetric and antisymmetric exponential functions and orthogonal polynomials
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F17%3A00311710" target="_blank" >RIV/68407700:21340/17:00311710 - isvavai.cz</a>
Result on the web
<a href="https://www.degruyter.com/view/j/ms.2017.67.issue-2/ms-2016-0280/ms-2016-0280.xml" target="_blank" >https://www.degruyter.com/view/j/ms.2017.67.issue-2/ms-2016-0280/ms-2016-0280.xml</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1515/ms-2016-0280" target="_blank" >10.1515/ms-2016-0280</a>
Alternative languages
Result language
angličtina
Original language name
Three-variable symmetric and antisymmetric exponential functions and orthogonal polynomials
Original language description
The common exponential functions whose exponents are the scalar products <λ,x>, where x is a real variable and λ is an integer, admit two generalizations to any higher dimension, the symmetric and the antisymmetric ones. Restriction in the paper to the three variables only allows us to work out many specific properties of the symmetric and antisymmetric functions useful in applications. Such are (i) the orthogonalities, both the continuous one and the discrete one on the 3D lattice of any density; (ii) corresponding discrete and continuous Fourier transforms; (iii) generating functions for the related polynomials in three variables, and others. Rapidly increasing precision of the interpolation with increasing density of the 3D lattice is shown in an example.
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
—
Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Mathematica Slovaca
ISSN
0139-9918
e-ISSN
1337-2211
Volume of the periodical
67
Issue of the periodical within the volume
2
Country of publishing house
SK - SLOVAKIA
Number of pages
20
Pages from-to
427-446
UT code for WoS article
000407178700016
EID of the result in the Scopus database
2-s2.0-85020477136