Determinantal Form for Ladder Operators in a Problem Concerning a Convex Linear Combination of Discrete and Continuous Measures

A differential equation for varying Krall-type orthogonal polynomials

“…The particular case with c = 0 and m = 1 was introduced in [6] and more generally in [32] where the authors obtained asymptotic properties of orthogonal polynomials with respect to (40) and properties about their zeros. It is important to remark that the holonomic equation for the orthogonal polynomials with respect to (40) was obtained in [22] in the constant case.…”

The annihilation operator for certain family of q-Hermite Sobolev-type orthogonal polynomials

“…In Section 4 we provide connection formulas between orthogonal polynomials of q-Hermite I and q-Hermite Sobolev-type families. Finally, in Section 5 we obtain an explicit expression for the annihilation operator for the family S n (x; q) n ≥ 0, in the same fashion as in [7] and [8].…”