Duran, Antonio J. , RUEDA GARCIA, MONICA
No
Integral Transform. Spec. Funct.
Article
Científica
0.7
0.597
03/07/2023
000905807900001
Meixner type polynomials (qn)n > 0 are defined from the Meixner polynomials by using Casoratian determinants whose entries belong to two given finite sets of polynomials (Sh)m1 h=1 and (Tg)m2 g=1. They are eigenfunctions of higher-order difference operators but only for a careful choice of the polynomials (Sh)m1 h=1 and (Tg)m2g=1, the sequence (qn)n > 0 is orthogonal with respect to a measure. Under mild assumptions, we characterize in this paper the algebra formed by all difference operators with respect to which the family of Meixner type polynomials (qn)n > 0 are eigenfunctions.
Orthogonal polynomials; bispectral orthogonal polynomials; algebra of difference operators; Meixner polynomials