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math-ph2021
DEK-Type orthogonal polynomials and a modification of the Christoffel formula
Rachel Bailey, Maxim Derevyagin
In this note we revisit one of the first known examples of exceptional orthogonal polynomials that was introduced by Dubov, Eleonskii, and Kulagin in relation to nonharmonic oscill…
math.CA2021
Complex Jacobi matrices generated by Darboux transformations
Rachel Bailey, Maxim Derevyagin
In this paper, we study complex Jacobi matrices obtained by the Christoffel and Geronimus transformations at a nonreal complex number, including the properties of the corresponding…