13 citations · 29 across the 15 of their papers we have counts for
4 papers · 1 filter
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…
An electrostatic interpretation of the zeros of sieved ultraspherical polynomials
K. Castillo, M. N. de Jesus, J. Petronilho
In a companion paper [On semiclassical orthogonal polynomials via polynomial mappings, J. Math. Anal. Appl. (2017)] we proved that the semiclassical class of orthogonal polynomials…