4 papers
Markov theorem for weight functions on the unit circle
K. Castillo
The aim of this paper is to prove that Markov's theorem on variation of zeros of orthogonal polynomials on the real line [Math. Ann., 27:177-182,1886] remains essentially valid in…
A proof of a conjecture about a symmetric system of orthogonal polynomials
K. Castillo, M. N. de Jesus, J. Petronilho
The purpose of this note is to give an affirmative answer to a conjecture appearing in [Integral Transforms Spec. Funct. 26 (2015) 90-95].
On classical orthogonal polynomials related to Hahn's operator
R. Álvarez-Nodarse, K. Castillo, D. Mbouna +1
Let be a nonzero linear functional acting on the space of polynomials. Let be a Hahn operator acting on the dual space of polynomials. Suppose that the…
A note on orthogonal polynomials described by Chebyshev polynomials
K. Castillo, M. N. de Jesus, J. Petronilho
The purpose of this note is to extend in a simple and unified way some results on orthogonal polynomials with respect to the weight function $$\frac{|T_m(x)|^p}{\sqrt{1-x^2}}\;,\qu…