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 $p>-1$...

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  • CLASSICAL ANALYSIS AND ODES