5 papers · 1 filter
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…
Even Hypergeometric Polynomials and Finite Free Commutators
Jacob Campbell, Rafael Morales, Daniel Perales
We study in detail the class of even polynomials and their behavior with respect to finite free convolutions. To this end, we use some specific hypergeometric polynomials and a var…
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…
Zeros of generalized hypergeometric polynomials via finite free convolution. Applications to multiple orthogonality
Andrei Martinez-Finkelshtein, Rafael Morales, Daniel Perales
We address the problem of the weak asymptotic behavior of zeros of families of generalized hypergeometric polynomials as their degree tends to infinity. The main tool is the repres…
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…