Complex Sequences

The articles [5], [8], [6], [3], [9], [1], [10], [2], [7], and [4] provide the notation and terminology for this paper. For simplicity, we use the following convention: f is a function,n is a natural number,, p are elements ofC, andx is a set. A complex sequence is a function from N into C. In the sequel s1, s2, s3, s4, s1, s ′ 2 denote complex sequences. One can prove the following two propositions: