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math.PR2026
Repeated differentiation of deterministic polynomials with asymptotically radial root distributions
Brian C. Hall, Daniel Perales
Recent works of Galligo, Najnudel, and Vu (2025) and Najnudel and Vu (2026) study repeated differentiation for polynomials of the form , where is a deterministic p…
math.CA2026
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…