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Vol. 15 No. 1 (2024)
Vol 15, Núm.1 (2024): Enero-Junio

Artículos de investigación / Research papers

A note on zeros of orthogonal polynomials generated by canonical transformations

https://doi.org/10.19053/01217488.v15.n1.2024.15357

Published 2024-04-09

  • Luis Alejandro Molano Molano
    • ,
  • Germán Darío Cuida Plazas

Luis Alejandro Molano Molano


Germán Darío Cuida Plazas
Universidad Pedagógica y Tecnológica de Colombia, Escuela de Matemáticas y Estadística. Duitama

Abstract

In this work, the behavior of zeros of orthogonal polynomials associated with canonical spectral transformations of weight functions on $[0,\infty)$ is studied. Namely, by means of standard techniques, we obtain interlacing properties for zeros associated with some particular cases of rational and Christoffel transformations

Keywords

Orthogonal polynomials, Canonical transformations, Zeros

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