Appell polynomials and their zero attractors

A polynomial family {p(n)(x)} is Appell if it is given by e(xt)/g(t) = Sigma(infinity)(n=0) p(n)(x)t(n) or, equivalently, p(n)'(x) = p(n-1)(x). If g(t) is an entire function, g(0) not equal 0, with at least one zero, the asymptotics of linearly scaled polynomials {p(n)(nx)} are described by means of finitely zeros of g, including those of minimal modulus. As a consequence, we determine the limiting behavior of their zeros as well as their density. The techniques and results extend our earlier work on Euler polynomials.