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- W4385825558 abstract "We consider polynomials orthogonal on the unit circle with respect to the complex-valued measure $z^{omega-1}mathrm{d} z$, where $omegainmathbb{R}setminus{0}$. We derive their explicit form, a generating function and several recurrence relations. These polynomials possess an intriguing pattern of zeros which, as $omega$ varies, are reminiscent of a firework explosion. We prove this pattern in a rigorous manner." @default.
- W4385825558 created "2023-08-15" @default.
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- W4385825558 date "2023-08-11" @default.
- W4385825558 modified "2023-09-26" @default.
- W4385825558 title "On skyburst polynomials and their zeros" @default.
- W4385825558 doi "https://doi.org/10.48550/arxiv.2308.06059" @default.
- W4385825558 hasPublicationYear "2023" @default.
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