No description available.

Thesis--Bonn. / Cover title. Vita. Includes bibliographical references (p. 106-111).

Thesis--Bonn. / Cover title. Vita. Includes bibliographical references (p. 106-111).

Thesis--Copenhagen. / "Litteraturfortegnelse": p. [93]-94.

Thesis--Copenhagen. / "Litteraturfortegnelse": p. [93]-94.

Thesis (Ph.D.)--University of Missouri-Columbia, 2005. / The entire dissertation/thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file (which also appears in the research.pdf); a non-technical general description, or public abstract, appears in the public.pdf file. Title from title screen of research.pdf file viewed on (January 25, 2007) Vita. Includes bibliographical references.

We first handle some generalizations from the theory of functions of a single complex variable, including results regarding analytic continuation. Several "theorems of continuity" are considered, along with the associated definitions of pseudoconvexity, and these are shown to be equivalent up to a special kind of transformation. By successively applying a form of analytic continuation to a function f , a set of pseudoconvex domains is constructed, and the union of these domains is shown to be the envelope of holomorphy of f . / Science, Faculty of / Mathematics, Department of / Graduate

The main purpose of this paper is to make a detailed study of a certain class T of complex functions. The functions of the class T have a special mapping property and are meromorphic in every region. As an application of this study, certain elementary functions are defined and studied in terms of a special T-function.

No description available.

No description available.