On differential equations associated with perturbations of orthogonal polynomials on the unit circle
- Lino G. Garza(corresponding author),
- Luis E. Garza,
- Edmundo J. Huertas
- ,
- Universidad de Colima,
- University of Alcalá
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Article
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Citations
2
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FWCI
0.28
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3
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41
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.
Publication Information
Output type
Research Output:
Contribution to journal
Article
Peer-reviewOriginal language
EnglishArticle number
246Journal (Volume, Issue Number)
Mathematics (Volume 8, Issue 2)Publication milestones
- Published - 01/02/2020
Publication status
Published - 01/02/2020
Publication IDs
- Scopus: 85080134606
Funding Details
Funding: The work of the first author was supported by Universidad de Monterrey under grant UIN19562. The work of the second author was supported by México’s Conacyt Grant 287523. The work of the third author (EJH) was supported by Dirección General de Investigación e Innovación, Consejería de Educación e Investigación of the Comunidad de Madrid (Spain), and Universidad de Alcalá under grant CM/JIN/2019-010, (Proyectos de I+D Para Jóvenes Investigadores de la Universidad de Alcalá 2019).
The work of the first author was supported by Universidad de Monterrey under grant UIN19562. The work of the second author was supported by México's Conacyt Grant 287523. The work of the third author (EJH) was supported by Dirección General de Investigación e Innovación, Consejería de Educación e Investigación of the Comunidad de Madrid (Spain), and Universidad de Alcalá under grant CM/JIN/2019-010, (Proyectos de I+D Para Jóvenes Investigadores de la Universidad de Alcalá 2019). We thank the anonymous referees for carefully reviewing our manuscript. Their valuable comments have substantially improved our work.
FundersFunding numbers
Dirección General de Investigación e Innovación, Consejería de Educación e Investigación of the Comunidad de Madrid
-México's Conacyt
-México's Conacyt
287523
Universidad de MonterreyUIN19562
UAH
CM/JIN/2019-010
UDEM-