... order of the sum of two functions is not greater than the larger of the orders of the two summands, and if the orders of the summands and of the sum are all equal, then 21 the type of the sum ... 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, b)), where a, b > 0, then the ... and last but clearly not least, Yahweh ii ABSTRACT An important chapter in the theory of distribution of zeros of entire functions pertains to the study of linear operators acting on entire functions...