on differential equations associated with perturbations of orthogonal polynomials on the unit circle
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ID: 155206
2020
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Abstract
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.
| Reference Key |
garza2020mathematicson
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|---|---|
| Authors | ;Lino G. Garza;Luis E. Garza;Edmundo J. Huertas |
| Journal | Turkish journal of pharmaceutical sciences |
| Year | 2020 |
| DOI |
10.3390/math8020246
|
| URL | |
| Keywords | Keywords not found |
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