PAPER / ARXIV:2609.07678
Amílcar Branquinho , Juan E. F. Díaz , Ana Foulquié-Moreno , Manuel Mañas
RESUMO
We study mixed multiple orthogonal polynomials associated with rank-one matrices of measures and their recurrence relations. On the step line we identify the corresponding banded recurrence matrix through the Gauss--Borel factorization of the moment matrix. Elementary Christoffel transformations lead to a factorization of this recurrence matrix into lower and upper bidiagonal factors. For the mixed Piñeiro system we derive contour-integral and generalized hypergeometric representations and formulas for the recurrence and factorization coefficients.
NO MESMO MAPA