Search Results - "Marcellán, Francisco"

On Sobolev orthogonal polynomials by Marcellán, Francisco, Xu, Yuan

“…Sobolev orthogonal polynomials have been studied extensively in the past quarter-century. The research in this field has sprawled into several directions and…”
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Integral representations of Eta functions and fractional calculus by Sedaghat, Salameh, Marcellán, Francisco

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An extension of a mixed interpolation–regression method using zeros of orthogonal polynomials by Dell’Accio, Francesco, Marcellán, Francisco, Nudo, Federico

“…The constrained mock-Chebyshev least squares approximation (CMCLS-approximation) is a method that has been recently introduced. It operates on a grid of…”
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Bispectrality for matrix Laguerre-Sobolev polynomials by Marcellán, Francisco, Zurrián, Ignacio

“…In this contribution we deal with sequences of polynomials orthogonal with respect to a Sobolev type inner product. A banded symmetric operator is associated…”
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Truncated Hermite polynomials by Dominici, Diego, Marcellán, Francisco

“…We define the family of truncated Hermite polynomials , orthogonal with respect to the linear functional The connection of with Hermite and Rys polynomials is…”
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On the characterizations of third-degree semiclassical forms via polynomial mappings by Marcellán, Francisco, Khalfallah, Mohamed

“…The aim of this contribution is the study of orthogonal polynomials via polynomial mappings in the framework of the third-degree semiclassical linear forms…”
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Asymptotic and interlacing properties of zeros of exceptional Jacobi and Laguerre polynomials by Gómez-Ullate, David, Marcellán, Francisco, Milson, Robert

“…In this paper we state and prove some properties of the zeros of exceptional Jacobi and Laguerre polynomials. Generically, the zeros of exceptional polynomials…”
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The Cauchy Exponential of Linear Functionals on the Linear Space of Polynomials by Marcellán, Francisco, Sfaxi, Ridha

“…In this paper, we introduce the notion of the Cauchy exponential of a linear functional on the linear space of polynomials in one variable with real or complex…”
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Spectral transformations and second kind polynomials associated with a hermitian linear functional by García-Ardila, Juan Carlos, Marcellán, Francisco

“…The aim of this paper is to analyze the relation between the Christoffel transformations in the framework of hermitian linear functionals and the associated…”
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Stability of Third Degree Linear Functionals and Rational Spectral Transformations by Salah, Imed Ben, Marcellán, Francisco, Khalfallah, Mohamed

“…In this paper, we consider linear forms of the third degree class. This means that the Stieltjes function associated with the corresponding moment sequence…”
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Quadratures and integral transforms arising from generating functions by Campos, Rafael G., Marcellán, Francisco

“…By using the explicit form of the eigenvectors of the finite Jacobi matrix associated to a family of orthogonal polynomials and some asymptotic expressions, we…”
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Sobolev orthogonal polynomials and spectral methods in boundary value problems by Fernández, Lidia, Marcellán, Francisco, Pérez, Teresa E., Piñar, Miguel A.

“…In the variational formulation of a boundary value problem for the harmonic oscillator, Sobolev inner products appear in a natural way. First, we study the…”
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Higher-order recurrence relations, Sobolev-type inner products and matrix factorizations by Hermoso, Carlos, Huertas, Edmundo J., Lastra, Alberto, Marcellán, Francisco

“…It is well known that Sobolev-type orthogonal polynomials with respect to measures supported on the real line satisfy higher-order recurrence relations and…”
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Discrete semiclassical orthogonal polynomials of class one by Dominici, Diego, Marcellán, Francisco

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Linear Combinations of d-Orthogonal Polynomials by Marcellán, Francisco, Saib, Abdessadek

“…The regularity of a linear combination of r consecutive elements of a monic d -orthogonal polynomial sequence has been studied when ( r - 1 ) is a multiple of…”
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On co-polynomials on the real line by Castillo, Kenier, Marcellán, Francisco, Rivero, Jorge

“…In this paper, we study new algebraic and analytic aspects of orthogonal polynomials on the real line when finite modifications of the recurrence coefficients,…”
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A note on the Geronimus transformation and Sobolev orthogonal polynomials by Derevyagin, Maxim, Marcellán, Francisco

“…In this note we recast the Geronimus transformation in the framework of polynomials orthogonal with respect to symmetric bilinear forms. We also show that the…”
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Analytical Properties of Touchard-Based Hybrid Polynomials via Operational Techniques by Marcellán, Francisco, Jabee, Saima, Shadab, Mohammad

“…In this paper, the Touchard-based Laguerre–Gould–Hopper polynomials are introduced by using operational techniques. We investigate many properties of such…”
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Christoffel Transformations for Matrix Orthogonal Polynomials in the Real Line and the non-Abelian 2D Toda Lattice Hierarchy by Álvarez-Fernández, Carlos, Ariznabarreta, Gerardo, García-Ardila, Juan Carlos, Mañas, Manuel, Marcellán, Francisco

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On perturbed orthogonal polynomials on the real line and the unit circle via Szegő’s transformation by Castillo, Kenier, Marcellán, Francisco, Rivero, Jorge

“…By using the Szegő’s transformation we deduce new relations between the recurrence coefficients for orthogonal polynomials on the real line and the Verblunsky…”
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