Generalized Appell polynomials

In mathematics, a polynomial sequence has a generalized Appell representation if the generating function for the polynomials takes on a certain form:

where the generating function or kernel is composed of the series

with

and

and all

and

with

Given the above, it is not hard to show that is a polynomial of degree .

Boas–Buck polynomials are a slightly more general class of polynomials.

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