Zobrazeno 1 - 10
of 22
pro vyhledávání: '"Agnieszka Tereszkiewicz"'
Autor:
Lenka Háková, Agnieszka Tereszkiewicz
Publikováno v:
Acta Polytechnica, Vol 56, Iss 6, Pp 440-447 (2016)
Weyl group orbit functions are defined in the context of Weyl groups of simple Lie algebras. They are multivariable complex functions possessing remarkable properties such as (anti)invariance with respect to the corresponding Weyl group, continuous a
Externí odkaz:
https://doaj.org/article/09da806f3493487fa186c08471261753
Publikováno v:
Acta Polytechnica, Vol 56, Iss 3, Pp 245-253 (2016)
Boundary value problems are considered on a simplex F in the real Euclidean space R2. The recent discovery of new families of special functions, orthogonal on F, makes it possible to consider not only the Dirichlet or Neumann boundary value problems
Externí odkaz:
https://doaj.org/article/1f2e0bd483904b4eab7db07f24b8b57c
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2011 (2011)
Recursive algebraic construction of two infinite families of polynomials in n variables is proposed as a uniform method applicable to every semisimple Lie group of rank n. Its result recognizes Chebyshev polynomials of the first and second kind as th
Externí odkaz:
https://doaj.org/article/a55e29716af9479391013ff39dde92d2
Publikováno v:
Acta Polytechnica, Vol 58, Iss 6, Pp 402-413 (2018)
The purpose of this paper is to discuss three types of boundary conditions for few families of special functions orthogonal on the fundamental region. Boundary value problems are considered on a simplex F in the real Euclidean space Rn of dimension n
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::634353da178524b7a78636cc279acdd1
https://doi.org/10.14311/ap.2018.58.0402
https://doi.org/10.14311/ap.2018.58.0402
Publikováno v:
Applied Mathematics and Computation. 325:297-308
In this work, we will introduce generalized tribonacci and generalized tricobsthal polynomials. We introduce definitions, formulas for both families of polynomials and the Binet formulas, generating functions. We analyze special points for considered
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::80321b9c7db50146e6e7b1a7f6cab753
https://doi.org/10.1016/j.amc.2017.12.042
https://doi.org/10.1016/j.amc.2017.12.042
Autor:
Agnieszka Tereszkiewicz, Lenka Háková
Publikováno v:
Acta Polytechnica, Vol 56, Iss 6, Pp 440-447 (2016)
Weyl group orbit functions are defined in the context of Weyl groups of simple Lie algebras. They are multivariable complex functions possessing remarkable properties such as (anti)invariance with respect to the corresponding Weyl group, continuous a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7bd3bd815b87849d58bfd7b83d93925f
https://doi.org/10.14311/ap.2016.56.0440
https://doi.org/10.14311/ap.2016.56.0440
Publikováno v:
Acta Polytechnica, Vol 56, Iss 3, Pp 245-253 (2016)
Boundary value problems are considered on a simplex F in the real Euclidean space R2. The recent discovery of new families of special functions, orthogonal on F, makes it possible to consider not only the Dirichlet or Neumann boundary value problems
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ee9b944b1c873b3c8d0f801974a08cf4
https://ojs.cvut.cz/ojs/index.php/ap/article/view/3509
https://ojs.cvut.cz/ojs/index.php/ap/article/view/3509
Publikováno v:
Applied Mathematics and Computation. 268:806-814
In this work we introduce a family of polynomials that satisfy the recurrence relations for Jacobsthal polynomials with generalized initial conditions by analogy to work of V.K. Gupta, Y.K. Panwar, and O. Sikhwal from 2012. Explicit closed form and t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::28a1f4acc9c431534bafba7b673d40d9
https://doi.org/10.1016/j.amc.2015.07.002
https://doi.org/10.1016/j.amc.2015.07.002
Publikováno v:
Journal of Physics A: Mathematical and General. 37:6115-6128
We present exact solutions of a class of models, which describe the parametric down conversion of photons. The Hamiltonians of this models are related to the classes of finite orthogonal polynomials. The spectra and explicit expressions for eigenvect
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::53d1ff1b19ec26fb05ee20b457905dda
https://doi.org/10.1088/0305-4470/37/23/010
https://doi.org/10.1088/0305-4470/37/23/010
Publikováno v:
Czechoslovak Journal of Physics. 52:1231-1237
We show that some quantum optical systems generate quantum algebras being the natural generalization of the Heisenberg-Weyl algebra. The importance of these algebras for the integration of the systems under consideration is discussed.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::de9b569fb8c7b7fc7a5e5916c227e32c
https://doi.org/10.1023/a:1021384904073
https://doi.org/10.1023/a:1021384904073