Uniqueness Theory of Meromorphic Functions

• 1 Basic Nevanlinna theory.- 2 Unicity of functions of finite (lower) order.- 3 Five-value, multiple value and uniqueness.- 4 The four-value theorem.- 5 Functions sharing three common values.- 6 Three-value sets of meromorphic functions.- 7 Functions sharing one or two values.- 8 Functions sharing values with their derivatives.- 9 Two functions whose derivatives share values.- 10 Meromorphic functions sharing sets.

From the reviews:"The uniqueness theory of transcendental meromorphic functions goes back to R. Nevanlinna who proved that any non-constant meromorphic function can be determined by five values applying the value distribution theory established by himself. … This book is the first exposition systematically summarizing recent results, and also presenting useful skills in this field." (Katsuya Ishizaki, Zentralblatt MATH, Vol. 1070 (21), 2005)