Linear functionals and $\Delta$- coherent pairs of the second kind
Abstract
We classify all the \emph{$\Delta$-}coherent pairs of measures of the second kind on the real line. We obtain $5$ cases, corresponding to all the families of discrete semiclassical orthogonal polynomials of class $s\leq1.$
- Publication:
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arXiv e-prints
- Pub Date:
- February 2023
- DOI:
- 10.48550/arXiv.2302.01899
- arXiv:
- arXiv:2302.01899
- Bibcode:
- 2023arXiv230201899D
- Keywords:
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- Mathematics - Classical Analysis and ODEs;
- 42C05 (primary);
- 33C45;
- 46E39 (secondary)
- E-Print:
- 24 pages