RT Journal Article
T1 General geronimus perturbations for mixed multiple orthogonal polynomials
A1 Mañas Baena, Manuel Enrique
A1 Rojas Gómez, Miguel Ángel
AB General Geronimus transformations, defined by regular matrix polynomials that are neither required to be monic nor restricted by the rank of their leading coefficients, are applied through both right and left multiplication to a rectangular matrix of measures associated with mixed multiple orthogonal polynomials. These transformations produce Christoffel-type formulas that establish relationships between the perturbed and original polynomials. Moreover, it is proven that the existence of Geronimus-perturbed orthogonality is equivalent to the non-cancellation of certain τ -determinants. The effect of these transformations on the Markov-Stieltjes matrix functions is also determined. As a case study, we examine the  Jacobi–Piñeiro orthogonal polynomials with three weights.
PB Springer
SN 1664-2368
YR 2025
FD 2025-04-05
LK https://hdl.handle.net/20.500.14352/124486
UL https://hdl.handle.net/20.500.14352/124486
LA eng
NO Mañas, M., Rojas, M. General geronimus perturbations for mixed multiple orthogonal polynomials. Anal.Math.Phys. 15, 50 (2025). https://doi.org/10.1007/s13324-025-01036-y
NO 2025 Acuerdos Transformativos CRUE-CSIC
NO Ministerio de Ciencia, Innovación y Universidades (España)
NO Agencia Estatal de Investigación (España)
NO European Commission
DS Docta Complutense
RD 17 dic 2025