On certain properties of perturbed Freud-type weight: a revisit
Abey S. Kelil,
Appanah R. Appadu,
Sama Arjika
Abstract:In this paper, monic polynomials orthogonal with deformation of the Freud-type weight function are considered. These polynomials fullfill linear differential equation with some polynomial coefficients in their holonomic form. The aim of this work is explore certain characterizing properties of perturbed Freud type polynomials such as nonlinear recursion relations, finite moments, differential-recurrence and differential relations satisfied by the recurrence coefficients as well as the corresponding semiclassic… Show more
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