4 citations · 8 across the 6 of their papers we have counts for
6 papers
Affine Scaling of Jacobi Zeros: Sharp Orderings Beyond Gautschi's Conjectures
K. Castillo, F. R. Rafaeli
We settle two conjectures of Gautschi on the degree dependence of the zeros of the Jacobi polynomials , , and obtain results substantially stronger than those…
On variation of zeros of classical discrete orthogonal polynomials
K. Castillo, F. R. Rafaeli, A. Suzuki
The purpose of this note is to establish, from the hypergeometric-type difference equation introduced by Nikiforov and Uvarov, new tractable sufficient conditions for the monotonic…
On zeros of polynomials in best -approximation and inserting mass points
K. Castillo, M. S. Costa, F. R. Rafaeli
The purpose of this note is to revive in spaces the original A. Markov ideas to study monotonicity of zeros of orthogonal polynomials. This allows us to prove and improve in…
On a class of biorthogonal polynomials on the unit circle
J. Borrego-Morell, F. R. Rafaeli
A system of biorthogonal polynomials with respect to a complex valued measure supported on the unit circle is considered and all the terms with bounds are explicitly given for the…
Zeros of orthogonal polynomials generated by the Geronimus perturbation of measures
Amílcar Branquinho, Edmundo J. Huertas, Fernando R. Rafaeli
This paper deals with monic orthogonal polynomial sequences (MOPS in short) generated by a Geronimus canonical spectral transformation of a positive Borel measure , i.e., \begin…
Zeros of Orthogonal Polynomials Generated by Canonical Perturbations on Standard Measure
Edmundo J. Huertas, Francisco Marcellán, Fernando R. Rafaeli
In this contribution, the behavior of zeros of orthogonal polynomials associated with canonical linear spectral transformations of measures supported in the real line is analyzed.…