A difference operator of infinite order with Sobolev-type Charlier polynomials as eigenfunctions

Linear perturbations of differential of

Linear perturbations of differential of difference operators with polynomials as eigenfunctions

✍ H. Bavinck 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 665 KB

This paper deals with one-parameter linear perturbations of a family of polynomials {Pn(x)}~0 with deg[P.(x)] = n of the form P~'(x) = Pn(x) +/~Q.(x), where p is a real parameter and {Qn(x)}~ 0 are polynomials with deg[Qn(x)] ~< n. Let the polynomials {Pn(x)}~0 be eigenfunctions of a linear differen