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math.CA2026
The manufacture of examples: the -classical orthogonal polynomials
K. Castillo, G. Gordillo-Núñez
The big -Jacobi, Bannai-Ito, and -Meixner-Pollaczek polynomials have appeared in the mathematical physics literature through differential- or difference-reflection eige…
math.CA2025
The multiple Markov theorem on Angelesco sets
K. Castillo, G. Gordillo-Núñez
Addressing a problem described by Ismail as a "worthwhile research project", this note extends Markov's theorem to multiple orthogonal polynomials on Angelesco sets. The interactio…