Uniqueness Theory of Meromorphic Functions

Chung-Chun Yang, Hong-Xun Yi (Autoren)

Buch | Softcover

569 Seiten

2010 | Softcover reprint of hardcover 1st ed. 2003
Springer (Verlag)
978-90-481-6354-0 (ISBN)

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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. This book systematically summarizes the most important results in the field, including many of the authors' own previously unpublished results.

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book systematically summarizes the most important results in the field, including many of the authors' own previously unpublished results.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.

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.

Erscheint lt. Verlag	4.12.2010
Reihe/Serie	Mathematics and Its Applications ; 557
Zusatzinfo	VIII, 569 p.
Verlagsort	Dordrecht
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
ISBN-10	90-481-6354-4 / 9048163544
ISBN-13	978-90-481-6354-0 / 9789048163540
Zustand	Neuware