The purpose of this research monograph is to build up a modern
value distribution theory for complex analytic mappings between
abstract Riemann surfaces. All results presented herein are new in
that, apart from the classical background material in the last
chapter, there is no over lapping with any existing monograph on
merom orphic functions. Broadly speaking the division of the book
is as follows: The Introduction and Chapters I to III deal mainly
with the theory of mappings of arbitrary Riemann surfaces as
developed by the first named author; Chapter IV, due to Nakai, is
devoted to meromorphic functions on parabolic surfaces; Chapter V
contains Matsumoto's results on Picard sets; Chapter VI, pre
dominantly due to the second named author, presents the so-called
nonintegrated forms of the main theorems and includes some joint
work by both authors. For a complete list of writers whose results
have been discussed we refer to the Author Index."
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