4 citations · 6 across the 5 of their papers we have counts for
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Asymptotic for orthogonal polynomials with respect to a rational modification of a measure supported on the semi-axis
C. Féliz-Sánchez, H. Pijeira-Cabrera, J. Quintero-Roba
Given a sequence of orthogonal polynomials , orthogonal with respect to a positive Borel measure supported on , let b…
Electrostatic models for zeros of Laguerre-Sobolev polynomials
Abel Díaz-González, Héctor Pijeira-Cabrera, Javier Quintero-Roba
Let {} be the sequence of orthogonal polynomials with respect to the Laguerre-Sobolev inner product $$ \langle f,g\rangle_S =\!\int_{0}^{+\infty}\! f(x) g(x…
Differential properties of Jacobi-Sobolev polynomials and electrostatic interpretation
Héctor Pijeira-Cabrera, Javier Quintero-Roba, Juan Toribio-Milane
We study the sequence of monic polynomials , orthogonal with respect to the Jacobi-Sobolev inner {product} \;$$ \langle f,g\rangle_{\mathsf{s}}= \int_{-1}^{…
Sequentially-ordered Sobolev inner product and Laguerre-Sobolev polynomials
Abel Díaz-González, Juan Hernández, Héctor Pijeira-Cabrera
We study the sequence of polynomials that are orthogonal with respect to the general discrete Sobolev-type inner product $$ \langle f,g \rangle_{\mathsf{s}}=\!\…
Hessenberg-Sobolev Matrices and Favard type theorems
Hector Pijeira-Cabrera, Laura Decalo-Salgado, Ignacio Perez-Yzquierdo
We study the relation between certain non-degenerate lower Hessenberg infinite matrices and the existence of sequences of orthogonal polynomials with respect to Sobol…
Iterated integrals and Borwein-Chen-Dilcher polynomials
Manuel Bello-Hernández, Héctor Pijeira-Cabrera, Daniel Rivero-Castillo
We study the zero location and the asymptotic behavior of iterated integrals of polynomials. Borwein-Chen-Dilcher's polynomials play an important role in this issue. For these poly…
Discrete-Continuous Jacobi-Sobolev Spaces and Fourier Series
Abel Díaz-González, Francisco Marcellán-Español, Héctor Pijeira-Cabrera +1
Let , $\ell\in \NN$, and $\varpi=(ω_0,ω_1, \dots, ω_{\ell-1})\in \RR^{\ell}$. Given a suitable function , we define the discrete-continuous Jacobi-Sobolev norm…
Orthogonality with respect to a Jacobi differential operator and applications
Jorge Alberto Borrego-Morell, Héctor Pijeira Cabrera
In this manuscript we study algebraic and analytic properties of the sequence of monic polynomials orthogonal with respect to a Jacobi differential operator. A fluid dynamics model…