On differential equations associated with perturbations of orthogonal polynomials on the unit circle

Lino G. Garza, Luis E. Garza, Edmundo J. Huertas

Resultado de la investigación

1 Cita (Scopus)

Resumen

In this contribution, we propose an algorithm to compute holonomic second-order differential equations satisfied by some families of orthogonal polynomials. Such algorithm is based in three properties that orthogonal polynomials satisfy: a recurrence relation, a structure formula, and a connection formula. This approach is used to obtain second-order differential equations whose solutions are orthogonal polynomials associated with some spectral transformations of a measure on the unit circle, as well as orthogonal polynomials associated with coherent pairs of measures on the unit circle.

Idioma originalEnglish
Número de artículo246
PublicaciónMathematics
Volumen8
N.º2
DOI
EstadoPublished - 1 feb 2020

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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