... that the 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, then21 the type of the ... greater than the larger of the types of the two summands. In addition,if one of the two functions is of larger growth than the other, then the sum has the same order and type as the function of larger ... 0, then the zeros of h(z) also lie in (−ab, ab).(iv) If the zeros of p(z) =µk=0akzkare all real, and if the zeros of q(z) =νk=0bkzkare all real and of the same sign, then the...