34 citations · 92 across the 9 of their papers we have counts for
11 papers
Higher-order recurrence relations, Sobolev-type inner products and matrix factorizations
Carlos Hermoso, Edmundo J. Huertas, Alberto Lastra +1
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 a…
On second order q-difference equations for high-order Sobolev-type q-Hermite orthogonal polynomials
Carlos Hermoso, Edmundo J. Huertas, Alberto Lastra +1
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…
The annihilation operator for certain family of q-Hermite Sobolev-type orthogonal polynomials
Carlos Hermoso, Anier Soria-Lorente
We present a new family of monic polynomials in , orthogonal with respect to a Sobolev-type inner product related to the -Hermite I or…
On second order q-difference equations satisfied by Al-Salam-Carlitz I-Sobolev type polynomials of higher order
Carlos Hermoso, Edmundo J. Huertas, Alberto Lastra +1
This contribution deals with the sequence of monic polynomials, orthogonal with respect to a Sobolev-type inner product related to the A…
Recognizing projections of rational curves
Juan Gerardo Alcázar, Carlos Hermoso
Given two rational, properly parametrized space curves and , where $\CCC_2$ is contained in some plane , we provide an algorithm to check whethe…
Similarity detection of rational space curves
Juan Gerardo Alcázar, Carlos Hermoso, Georg Muntingh
We provide an algorithm to check whether two rational space curves are related by a similarity. The algorithm exploits the relationship between the curvatures and torsions of two s…
On the Problem of Detecting When Two Implicit Plane Algebraic Curves Are Similar
Juan Gerardo Alcázar, Gema M. Diaz-Toca, Carlos Hermosa
We make use of the complex implicit representation in order to provide a deterministic algorithm for checking whether or not two implicit algebraic curves are related by a similari…
Symmetry Detection of Rational Space Curves from their Curvature and Torsion
Juan Gerardo Alcázar, Carlos Hermoso, Georg Muntingh
We present a novel, deterministic, and efficient method to detect whether a given rational space curve is symmetric. By using well-known differential invariants of space curves, na…
Involutions of polynomially parametrized surfaces
J. G. Alcázar, C. Hermoso
We provide an algorithm for detecting the involutions leaving a surface defined by a polynomial parametrization invariant. As a consequence, the symmetry axes, symmetry planes and…
Detecting Similarity of Rational Plane Curves
Juan Gerardo Alcázar, Carlos Hermoso, Georg Muntingh
A novel and deterministic algorithm is presented to detect whether two given rational plane curves are related by means of a similarity, which is a central question in Pattern Reco…
Detecting Symmetries of Rational Plane and Space Curves
J. G. Alcázar, C. Hermoso, G. Muntingh
This paper addresses the problem of determining the symmetries of a plane or space curve defined by a rational parametrization. We provide effective methods to compute the involuti…