Appell Polynomials and Their Zero Attractors

Robert P. Boyer William M. Y. Goh

A polynomial family $\{p_n(x)\}$ is Appell if it is given by $\frac{e^{xt}}{g(t)}={\sum }_{n=0}^{\infty }{p}_n(x)t^n$ or, equivalently, $p_n^{\prime }(x)=p_{n-1}(x)$. If $g(t)$ is an entire fu…