A note on orthogonal polynomials described by Chebyshev polynomials
27 Sep 2019
·
Castillo K.,
de Jesus M. N.,
Petronilho J.·
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
$$\frac{|T_m(x)|^p}{\sqrt{1-x^2}}\;,\quad-1<x<1\;,$$ where $T_m$ is the
Chebyshev polynomial of the first kind of degree $m$ and $p>-1$.