All

What are you looking for?

All
Projects
Results
Organizations

Quick search

  • Projects supported by TA ČR
  • Excellent projects
  • Projects with the highest public support
  • Current projects

Smart search

  • That is how I find a specific +word
  • That is how I leave the -word out of the results
  • “That is how I can find the whole phrase”

Generating Functions for Orthogonal Polynomials of A_2, C_2 and G_2

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F18%3A00326387" target="_blank" >RIV/68407700:21340/18:00326387 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.3390/sym10080354" target="_blank" >http://dx.doi.org/10.3390/sym10080354</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.3390/sym10080354" target="_blank" >10.3390/sym10080354</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Generating Functions for Orthogonal Polynomials of A_2, C_2 and G_2

  • Original language description

    The generating functions of fourteen families of generalized Chebyshev polynomials related to rank two Lie algebras A(2), C-2 and G(2) are explicitly developed. There exist two classes of the orthogonal polynomials corresponding to the symmetric and antisymmetric orbit functions of each rank two algebra. The Lie algebras G(2) and C-2 admit two additional polynomial collections arising from their hybrid character functions. The admissible shift of the weight lattice permits the construction of a further four shifted polynomial classes of C-2 and directly generalizes formation of the classical univariate Chebyshev polynomials of the third and fourth kinds. Explicit evaluating formulas for each polynomial family are derived and linked to the incomplete exponential Bell polynomials.

  • 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

    10102 - Applied mathematics

Result continuities

  • Project

    <a href="/en/project/7AMB16PL043" target="_blank" >7AMB16PL043: Symmetry methods for differential equations and their discretizations</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>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

    Symmetry

  • ISSN

    2073-8994

  • e-ISSN

    2073-8994

  • Volume of the periodical

    10

  • Issue of the periodical within the volume

    8

  • Country of publishing house

    CH - SWITZERLAND

  • Number of pages

    23

  • Pages from-to

  • UT code for WoS article

    000442486600056

  • EID of the result in the Scopus database

    2-s2.0-85052516479