3 papers
math.CA2026
The manufacture of examples: the -classical orthogonal polynomials
K. Castillo, G. Gordillo-Núñez
The -Jacobi, Bannai-Ito, and -Meixner-Pollaczek polynomials are studied in [Trans. Amer. Math. Soc. 364 (2012), 5491-5507], [Adv. Math. 229 (2012), 2123-2158], and [Stu…
math.GM2025
On recurrence coefficients of classical orthogonal polynomials
K. Castillo, G. Gordillo-Núñez
In Lett. Math. Phys. 114, 54 (2024) and 115, 70 (2025), the author introduces what is presented as a novel method for determining whether a sequence of orthogonal polynomials is "c…
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…