Zobrazeno 1 - 10
of 77
pro vyhledávání: '"Hermoso, Carlos"'
In this paper we provide, first, a general symbolic algorithm for computing the symmetries of a given rational surface, based on the classical differential invariants of surfaces, i.e. Gauss curvature and mean curvature. In practice, the algorithm wo
Externí odkaz:
http://arxiv.org/abs/2410.18609
Autor:
Hermoso, Carlos, Alcázar, Juan Gerardo
We characterize the polynomials $p_1(t), ... , p_n(t)$ whose Wronskian $W(p_1, ... , p_n)$ is a nonzero constant. Then, we generalize our results to characterize the Laurent polynomials with the same property. Finally, for rational functions we prove
Externí odkaz:
http://arxiv.org/abs/2410.18867
It is well known that Sobolev-type orthogonal polynomials with respect to measures supported on the real line satisfy higher-order recurrence relations and these can be expressed as a (2N+1)-banded symmetric semi-infinite matrix. In this paper we sta
Externí odkaz:
http://arxiv.org/abs/2203.03318
The q-Hermite I-Sobolev type polynomials of higher order are consider for their study. Their hypergeometric representation is provided together with further useful properties such as several structure relations which give rise to a three-term recurre
Externí odkaz:
http://arxiv.org/abs/2106.13726
Autor:
Hermoso, Carlos, Soria-Lorente, Anier
We present a new family $\left\{ S_{n}(x;q)\right\} _{n\geq 0}$ of monic polynomials in $x$, orthogonal with respect to a Sobolev-type inner product related to the $q$-Hermite I orthogonal polynomials, involving a first-order $q$-derivative on a mass
Externí odkaz:
http://arxiv.org/abs/2105.12779
Publikováno v:
Mathematics 2020, 8(8), 1300
This contribution deals with the sequence $\{\mathbb{U}_{n}^{(a)}(x;q,j)\}_{n\geq 0}$ of monic polynomials, orthogonal with respect to a Sobolev-type inner product related to the Al-Salam--Carlitz I orthogonal polynomials, and involving an arbitrary
Externí odkaz:
http://arxiv.org/abs/2007.00343
Publikováno v:
In Journal of Computational and Applied Mathematics 15 December 2022 416
Autor:
Alcázar, Juan Gerardo, Hermoso, Carlos
Publikováno v:
In Computer Aided Geometric Design June 2022 96
Autor:
Alcázar, Juan Gerardo, Hermoso, Carlos
Publikováno v:
In Computer Aided Geometric Design November 2021 91
Autor:
Alcázar, Juan Gerardo, Hermoso, Carlos
Given two rational, properly parametrized space curves ${\mathcal C}_1$ and ${\mathcal C}_2$, where $\CCC_2$ is contained in some plane $\Pi$, we provide an algorithm to check whether or not there exist perspective or parallel projections mapping $\C
Externí odkaz:
http://arxiv.org/abs/1603.07500