... containing the origin, and if all the zeros of g(z) lie in (−1, 0), then the zeros of h(z) also lie in K.(iii) If the zeros of f(z) lie in (−a, a) and the zeros of g(z) lie in (−b, 0) (or in (0, ... summands, and if the orders of the summands and of the sum are all equal, then21 the type of the sum is not greater than the larger of the types of the two summands. In addition,if one of the ... defined in (2.5). For the convenience of the reader, we list the first few14 LINEAR AND NON -LINEAR OPERATORS, AND THE DISTRIBUTION OF ZEROS OF ENTIRE FUNCTIONS A DISSERTATION SUBMITTED TO THE GRADUATE...