Semi-classical linear functionals of class three: the symmetric case

A Classification of Symmetric (1, 1)-Coherent Pairs of Linear Functionals

“…In the symmetric framework, the quasi-definite semiclassical linear functionals of Class 1 were described in [38], and in [37], the symmetric quasi-definite linear functionals of Class 2 were given. Finally, examples of symmetric semiclassical linear functionals of Class 3 were studied in [42].…”

Semi-classical Linear Functionals of Class Four: The Symmetric Case

“…Recently, the semi-classical linear functionals of class s = 2 are completely described by F. Marcellán et al in [8,10]. In [9], the authors gives a complete description of all symmetric semi-classical linear of class s = 3 using such an approach. Finally, a complete study of the class of the symmetric companion u of a linear functional v in terms of the class of v is done in [4].…”