V Congreso de la Red de Polinomios Ortogonales y Teoría de Aproximación - Orthonet
Recent Submissions
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Shannon-like integrals of hypergeometric orthogonal polynomials with large parameters and applications to high-dimensional harmonic and hydrogenic systems
(2019) Contribución a congreso / Biltzarrerako ekarpena
In this talk we determine the asymptotics of various logarithmic-type integral functionals of hypergeometric orthogonal polynomials (Laguerre, Gegenbauer) when their parameter α -> ∞. Then, we apply the corresponding results ... -
Coherent pairs of bivariate orthogonal polynomials
(2019) Contribución a congreso / Biltzarrerako ekarpena
Coherent pairs of measures were introduced in 1991 and constitute a very useful tool in the study of Sobolev orthogonal polynomials on the real line. In this work, coherence and partial coherence in two variables appear ... -
Numerical evaluation of Airy-type integrals arising in uniform asymptotic analysis
(2019) Contribución a congreso / Biltzarrerako ekarpena
In this talk we describe a simpler quadrature method, in fact, the trapezoidal rule, which appears to be very efficient on the saddle point contour, and on a slightly shifted one. -
Computational methods for cumulative distribution functions
(2019) Contribución a congreso / Biltzarrerako ekarpena
Some special functions are particularly relevant in Applied Probability and Statistics. For example, the incomplete gamma and beta functions are (up to normalization factors) the cumulative central gamma and beta ... -
Classical perturbations for matrices of linear functionals
García, Juan Carlos
(2019)
Contribución a congreso / Biltzarrerako ekarpena
In this talk, we consider matrix transformations of matrices with linear functionals as entries. In particular, we study the Christo_x001B_el, Geronimus, and Geronimus-Uvarov transformations, as well as, their relation ... -
Sobolev inner product as a solution of inverse Darboux transformation
(2019) Contribución a congreso / Biltzarrerako ekarpena
In this talk we expose a survey of Darboux transformations for Jacobi and CMV matrices, relating them with orthogonal polynomials on the real line, orthogonal polynomials on the unit circle and integrable systems, and ... -
Discrete harmonic analysis associated with Jacobi expansions
(2019) Contribución a congreso / Biltzarrerako ekarpena
The study of the classical harmonic analysis operators in non-trigonometric contexts has a very rich history and it has been widely addressed in the continuous setting. However, the situation in the discrete one is totally ... -
Orthogonality and bispectrality
(2019) Contribución a congreso / Biltzarrerako ekarpena
The concept of bispectrality (in short, a function in two variables that is an eigenfunction for an operator in each variable) is especially interesting for orthogonal polynomials. Indeed, depending on the type of operators ...
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