Difference operators with Sobolev type meixner polynomials as eigenfunctions

Polynomials are considered which are orthogonal with respect to the inner product , β>0,0 0, ν = 0 and μ = 0, ν > 0, these polynomials are eigenfunctions of a difference operator of infinite order. Expressions for the eigenvalues and representations for the coefficients in the differential operators are presented.