Overview
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book systematically summarizes the most important results in the field, including many of the authors' own previously unpublished results.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.
Full Product Details
Author: Chung-Chun Yang ,
Hong-Xun Yi
Publisher: Springer
Imprint: Springer
Edition: Softcover reprint of hardcover 1st ed. 2003
Volume: 557
Dimensions:
Width: 15.50cm
, Height: 2.90cm
, Length: 23.50cm
Weight: 0.878kg
ISBN: 9789048163540
ISBN 10: 9048163544
Pages: 569
Publication Date: 04 December 2010
Audience:
Professional and scholarly
,
Professional & Vocational
Format: Paperback
Publisher's Status: Active
Availability: Out of stock
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Reviews
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)
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)
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)
