Listar V Congreso de la Red de Polinomios Ortogonales y Teoría de Aproximación - Orthonet por título
Mostrando ítems 5-8 de 8
-
Numerical evaluation of Airy-type integrals arising in uniform asymptotic analysis
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. -
Orthogonality and bispectrality
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 ... -
Shannon-like integrals of hypergeometric orthogonal polynomials with large parameters and applications to high-dimensional harmonic and hydrogenic systems
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 ... -
Sobolev inner product as a solution of inverse Darboux transformation
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 ...