000170468 001__ 170468
000170468 005__ 20260422085545.0
000170468 0248_ $$2sideral$$a148961
000170468 037__ $$aART-2023-148961
000170468 041__ $$aeng
000170468 100__ $$0(orcid)0000-0003-3636-276X$$aCantero Medina, María José$$uUniversidad de Zaragoza
000170468 245__ $$aOn skyburst polynomials and their zeros
000170468 260__ $$c2023
000170468 5060_ $$aAccess copy available to the general public$$fUnrestricted
000170468 5203_ $$aWe 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.
000170468 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E48-23R$$9info:eu-repo/grantAgreement/ES/MICINN/PID2021-124472NB-I00
000170468 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttps://creativecommons.org/licenses/by-nc-nd/4.0/deed.es
000170468 592__ $$a0.417$$b2023
000170468 593__ $$aMathematics (miscellaneous)$$c2023$$dQ2
000170468 593__ $$aApplied Mathematics$$c2023$$dQ3
000170468 594__ $$a1.7$$b2023
000170468 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion
000170468 700__ $$aIserles, Arieh
000170468 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada
000170468 773__ $$g16, 1 (2023), 31-41$$tDolomites Research Notes on Approximation$$x2035-6803
000170468 8564_ $$s536847$$uhttps://zaguan.unizar.es/record/170468/files/texto_completo.pdf$$yVersión publicada
000170468 8564_ $$s2230352$$uhttps://zaguan.unizar.es/record/170468/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada
000170468 909CO $$ooai:zaguan.unizar.es:170468$$particulos$$pdriver
000170468 951__ $$a2026-04-22-08:33:03
000170468 980__ $$aARTICLE