23 citations · 23 across the 3 of their papers we have counts for
6 papers
Multiplicative and Additive Finite Free Convolutions for q-Polynomials
Andrei Martinez-Finkelshtein, Daniel Perales, Rafael Morales
We study -analogs of finite free convolutions and their interaction with families of -hypergeometric polynomials. First, we revisit the -multiplicative finite free convolu…
Spectral curves, variational problems and the hermitian matrix model with external source
Andrei Martínez-Finkelshtein, Guilherme L. F. Silva
We consider the hermitian random matrix model with external source and general polynomial potential, when the source has two distinct eigenvalues but is otherwise arbitrary. All su…
Complementary Romanovski-Routh polynomials: From orthogonal polynomials on the unit circle to Coulomb wave functions
A. Martínez-Finkelshtein, L. L. Silva Ribeiro, A. Sri Ranga +1
We consider properties and applications of a sequence of polynomials known as complementary Romanovski-Routh polynomials (CRR polynomials for short). These polynomials, which follo…
Critical measures for vector energy: asymptotics of non-diagonal multiple orthogonal polynomials for a cubic weight
Andrei Martínez-Finkelshtein, Guilherme Silva
We consider the type I multiple orthogonal polynomials (MOPs) and type II MOPs , satisfying non-hermitian orthogonality with respect to the weight $e^…
What is a multiple orthogonal polynomial?
Andrei Martínez-Finkelshtein, Walter Van Assche
This is an extended version of our note in the Notices of the American Mathematical Society 63 (2016), no. 9, in which we explain what multiple orthogonal polynomials are and where…
Asymptotics of type I Hermite-Padé polynomials for semiclassical functions
Andrei Martínez-Finkelshtein, Evgenii A. Rakhmanov, Sergeiy P. Suetin
Type I Hermite--Padé polynomials for a set of functions at infinity, , , ..., , is defined by the asymptotic condition $$ R_n(z):=\b…