4 papers
Weighted equilibrium in a field of a uniform charge of an interval
James Kessinger, Andrei Martinez-Finkelshtein
We study the logarithmic equilibrium problem on the interval in the presence of an external field generated by a uniform background charge supported on the same interval.…
Elliptic orthogonal polynomials and OPRL
Victor Alves, Andrei Martinez-Finkelshtein
We explore a class of meromorphic functions on elliptic curves, termed \emph{elliptic orthogonal a-polynomials} (-EOPs), which extend the classical notion of orthogonal polynomi…
Zeros of orthogonal little q-Jacobi polynomials: interlacing and monotonicity
Andrei Martinez-Finkelshtein, Rafael Morales, Daniel Perales
We investigate the distribution of zeros of the little q-Jacobi polynomials and related q-hypergeometric families. We prove that the zeros of these orthogonal polynomials exhibit s…
Sampling patterns for Zernike-like bases in non-standard geometries
Sergio DÃaz-Elbal, Andrei MartÃnez-Finkelshtein, DarÃo Ramos-López
Zernike polynomials are widely used in optics and ophthalmology due to their direct connection to classical optical aberrations. While orthogonal on the unit disk, their applicatio…