349 citations · 1.5k across the 35 of their papers we have counts for
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Understanding complex dynamics by means of an associated Riemann surface
David Gomez-Ullate, Paolo Santini, Matteo Sommacal +1
We provide an example of how the complex dynamics of a recently introduced model can be understood via a detailed analysis of its associated Riemann surface. Thanks to this geometr…
Two-step Darboux transformations and exceptional Laguerre polynomials
David Gomez-Ullate, Niky Kamran, Robert Milson
It has been recently discovered that exceptional families of Sturm-Liouville orthogonal polynomials exist, that generalize in some sense the classical polynomials of Hermite, Lague…
On orthogonal polynomials spanning a non-standard flag
David Gomez-Ullate, Niky Kamran, Robert Milson
We survey some recent developments in the theory of orthogonal polynomials defined by differential equations. The key finding is that there exist orthogonal polynomials defined by…