Lothar Berg
On Polynomials Related with Generalized Bernoulli Numbers
The paper is published: Rostocker Mathematisches Kolloquium, Rostock. Math. Kolloq. 56, 55-61(2002)

MSC:

11B68 Bernoulli and Euler numbers and polynomials

11C08 Polynomials, See also {13F20}

39A10 Difference equations, See also {33Dxx}

Abstract: The generalized Bernoulli numbers are connected with a sequence of polynomials, which
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.
Keywords: Bernoulli numbers, recursions, Rodrigues formula, moments, generating function