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math.CA2025
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…
math.CA2025
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…