Division problem of a regular form: the case \(x^2u=\lambda xv\)
Summary: We present a systematic study of a regular linear functional \(v\) to find all regular forms \(u\) which satisfy the equation \(x^{2}u = \lambda xv\), \(\lambda \in \mathbb C - \{ 0 \}\). We also give the second-order recurrence relation of the orthogonal polynomial sequence with respect to \(u\) and study the semiclassical character of the found families. We conclude by treating some examples.
scientific article; zbMATH DE number 5930225