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math.NA2023
A framework for stable spectral methods in -dimensional unit balls
Jing Gao, Arieh Iserles
The subject of this paper is the design of efficient and stable spectral methods for time-dependent partial differential equations in unit balls. We commence by sketching the desir…
math.CA2023
A recurrence relation for generalised connection coefficients
Jing Gao, Arieh Iserles
We formulate and prove a general recurrence relation that applies to integrals involving orthogonal polynomials and similar functions. A special case are connection coefficients be…
math.CV2023
On skyburst polynomials and their zeros
María José Cantero, Arieh Iserles
We consider polynomials orthogonal on the unit circle with respect to the complex-valued measure , where . We derive their explic…