Linear functionals and $\Delta$- coherent pairs of the second kind
Diego Dominici, Francisco Marcell\'an
TL;DR
This paper classifies all $ riangle$-coherent pairs of measures of the second kind on the real line, linking them to discrete semiclassical orthogonal polynomials of class s ≤ 1, thus providing a comprehensive taxonomy.
Contribution
It provides a complete classification of $ riangle$-coherent pairs of measures of the second kind, connecting them to known families of orthogonal polynomials.
Findings
Identifies 5 cases of $ riangle$-coherent pairs.
Links these pairs to discrete semiclassical orthogonal polynomials.
Completes the classification for measures of the second kind.
Abstract
We classify all the \emph{-}coherent pairs of measures of the second kind on the real line. We obtain cases, corresponding to all the families of discrete semiclassical orthogonal polynomials of class
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Taxonomy
TopicsMathematical Analysis and Transform Methods · Mathematical functions and polynomials · Numerical methods in inverse problems