Quadratic and cubic transformations and zeros of hypergeometric polynomials

摘要

In this paper we consider the location of the zeros of the hypergeometric polynomials that lie in either the quadratic or the cubic class, where each of these classes is determined by a necessary and sufficient condition due to Kummer. We show that the zeros of most polynomials in these classes can be specified by simple applications of the results proved in recent papers of Driver and Duren.