On skyburst polynomials and their zeros
Cantero Medina, María José (Universidad de Zaragoza) ; Iserles, Arieh
Resumen: We consider polynomials orthogonal on the unit circle with respect to the complex-valued measure z ω−1 dz, where ω ∈ R\ {0}. We derive their explicit form, a generating function and several recurrence relations. These polynomials possess an intriguing pattern of zeros which, as ω varies, are reminiscent of a firework explosion. We prove this pattern in a rigorous manner.
Idioma: Inglés
Año: 2023
Publicado en: Dolomites Research Notes on Approximation 16, 1 (2023), 31-41
ISSN: 2035-6803
Factor impacto CITESCORE: 1.7 - Mathematics (miscellaneous) (Q2) - Applied Mathematics (Q3)
Factor impacto SCIMAGO: 0.417 - Mathematics (miscellaneous) (Q2) - Applied Mathematics (Q3)
Financiación: info:eu-repo/grantAgreement/ES/DGA/E48-23R
Financiación: info:eu-repo/grantAgreement/ES/MICINN/PID2021-124472NB-I00
Tipo y forma: Article (Published version)
Área (Departamento): Área Matemática Aplicada (Dpto. Matemática Aplicada)
You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. You may not use the material for commercial purposes. If you remix, transform, or build upon the material, you may not distribute the modified material.
Exportado de SIDERAL (2026-04-22-08:33:03)
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Idioma: Inglés
Año: 2023
Publicado en: Dolomites Research Notes on Approximation 16, 1 (2023), 31-41
ISSN: 2035-6803
Factor impacto CITESCORE: 1.7 - Mathematics (miscellaneous) (Q2) - Applied Mathematics (Q3)
Factor impacto SCIMAGO: 0.417 - Mathematics (miscellaneous) (Q2) - Applied Mathematics (Q3)
Financiación: info:eu-repo/grantAgreement/ES/DGA/E48-23R
Financiación: info:eu-repo/grantAgreement/ES/MICINN/PID2021-124472NB-I00
Tipo y forma: Article (Published version)
Área (Departamento): Área Matemática Aplicada (Dpto. Matemática Aplicada)
You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. You may not use the material for commercial purposes. If you remix, transform, or build upon the material, you may not distribute the modified material. Exportado de SIDERAL (2026-04-22-08:33:03)
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Record created 2026-04-22, last modified 2026-04-22