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)