60 citations · 208 across the 39 of their papers we have counts for
39 papers
Compactly supported radial basis functions as probability density functions
Sergio Díaz-Elbal, Andrei Martínez-Finkelshtein, Darío Ramos-López
Compactly Supported Radial Basis Functions (CS-RBFs) are a fundamental tool in multivariate approximation theory. However, their use in statistics and probability modeling remains…
Weighted equilibrium and the flow of derivatives of polynomials
Andrei Martinez-Finkelshtein, Evgenii A. Rakhmanov
Given a sequence of polynomials of degree with zeros on , we consider the triangular table of derivatives . Under the assumption th…
Flow of the zeros of polynomials under iterated differentiation
Andrei Martinez-Finkelshtein, Evgenii A. Rakhmanov
For a monic polynomial of degree , let be its -th derivative normalized to be monic. Under the only assumption that the sequence has a weak* limiti…
Interlacing and monotonicity of zeros of Angelesco-Jacobi polynomials
Andrei Martinez-Finkelshtein, Rafael Morales
Information about the behavior of zeros of classical families of multiple or Hermite-Padé orthogonal polynomials as functions of the intrinsic parameters of the family is scarce. W…
Real roots of hypergeometric polynomials via finite free convolution
Andrei Martinez-Finkelshtein, Rafael Morales, Daniel Perales
We examine two binary operations on the set of algebraic polynomials, known as multiplicative and additive finite free convolutions, specifically in the context of hypergeometric p…
On foci of ellipses inscribed in cyclic polygons
Markus Hunziker, Andrei Martinez-Finkelshtein, Taylor Poe +1
Given a natural number and two points and in the unit disk in the complex plane, it is known that there exists a unique elliptical disk having and…