Date of Award

Fall 1983

Degree Type

Thesis - Restricted

Degree Name

Master of Science (MS)

Department

Mathematics

Abstract

The purpose of this paper is to present in one place the several theorems concerning the convergence of infinite series of a complex variable together with the usual operations on such series giving the conditions under which they are valid, i.e. the elementary operations; addition, subtraction, multiplication, division, and differentiation and integration term by term. In addition, it is our purpose to apply these theorems to the trigonometric, exponential and logarithmic functions. We shall then, of course, devote the first section of the paper to the proofs of the theorems above mentioned and then proceed to their application to the elementary functions.

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