Appell Polynomials and Their Zero Attractors
نویسندگان
چکیده
∞ n=0 pn(x)t n or, equivalently, p′n(x) = pn−1(x). If g(t) is an entire function, g(0) 6= 0, with at least one zero, the asymptotics of linearly scaled polynomials {pn(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.
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