29 citations · 142 across the 28 of their papers we have counts for
33 papers
A unified approach via Geronimus transformation to various types of orthogonal polynomials
Maxim Derevyagin, Juan Carlos García Ardila
We present a unified Geronimus-type construction that leads to various orthogonal polynomials including indefinite orthogonal polynomials, exceptional and, more generally, lacunary…
A remark on Chebyshev rational functions, multipoint Padé approximants and Noise
Maxim Derevyagin, Max Meynig
Motivated by the recent interest in multipoint Padé approximants in the physics community, we discuss Chebyshev rational functions and show how they give rise to multipoint Padé ap…
Jacobi matrices that realize perfect quantum state transfer and early state exclusion
Rachel Bailey, Sara Costa, Maxim Derevyagin +2
In this paper we show how to construct 1D Hamiltonians, that is, Jacobi matrices, that realize perfect quantum state transfer and also have the property that the overlap of the tim…
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…
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…
A note on an asymptotic formula for integrals of products of Jacobi polynomials
Maxim Derevyagin, Nicholas Juricic
We recast Byerly's formula for integrals of products of Legendre polynomials. Then we adopt the idea to the case of Jacobi polynomials. After that, we use the formula to derive an…