22 citations · 205 across the 45 of their papers we have counts for
5 papers · 1 filter
Differential properties of matrix orthogonal polynomials
M. J. Cantero, L. Moral, L. Velazquez
In this paper a general theory of semi-classical matrix orthogonal polynomials is developed. We define the semi-classical linear functionals by means of a distributional equation $…
Astrophysical Systems: A model based on the Self-similarity Scaling Postulates
L. Velazquez, F. Guzman
In the present work, it is developed a formalism to deal with the macroscopic study of the astrophysical systems, which is based on the consideration of the exponential self-simila…
Five-diagonal matrices and zeros of orthogonal polynomials on the unit circle
Maria J. Cantero, Leandro Moral, Luis Velazquez
It is shown that monic orthogonal polynomials on the unit circle are the characteristic polynomials of certain five-diagonal matrices depending on the Schur parameters. This result…
Measures and semi-orthogonal functions on the unit circle
Maria J. Cantero, Maria P. Ferrer, Leandro Moral +1
The zeros of semi-orthogonal functions with respect to a probability measure mu supported on the unit circle can be applied to obtain Szego quadrature formulas. The discrete measur…
A connection between orthogonal polynomials on the unit circle and matrix orthogonal polynomials on the real line
Maria J. Cantero, Maria P. Ferrer, Leandro Moral +1
Szego's procedure to connect orthogonal polynomials on the unit circle and orthogonal polynomials on [-1,1] is generalized to nonsymmetric measures. It generates the so-called semi…