**MSC:**- 11B68 Bernoulli and Euler numbers and polynomials
- 11C08 Polynomials, See also {13F20}
- 39A10 Difference equations, See also {33Dxx}

are defined recursively and which can be represented by means of a generalized Rodrigues formula.

A relation between the coefficients of a polynomial and corresponding moments is

derived. A generating function

with an unusual shape is constructed.