This book is the first monograph in the field of uniqueness theory of
meromorphic functions dealing with conditions under which there is the
unique function satisfying given hypotheses. Developed by R. Nevanlinna,
a Finnish mathematician, early in the 1920's, research in the field has
developed rapidly over the past three decades with a great deal of
fruitful results. This book systematically summarizes the most important
results in the field, including many of the authors' own previously
unpublished results. In addition, useful skills and simple proofs are
introduced. This book is suitable for higher level and graduate students
who have a basic grounding in complex analysis, but will also appeal to
researchers in mathematics.