Translations of Mathematical Monographs 1993; 375 pp; hardcover Volume: 122 ISBN10: 0821845896 ISBN13: 9780821845899 List Price: US$135 Member Price: US$108 Order Code: MMONO/122
 This book was originally written in Chinese in 1986 by the noted complex analyst Zhang GuanHou, who was a research fellow at the Academia Sinica. The book provides a basic introduction to the development of the theory of entire and meromorphic functions from the 1950s to the early 1980s. After an opening chapter introducing fundamentals of Nevanlinna's value distribution theory, the book discusses various relationships among and developments of three central concepts: deficient value, asymptotic value, and singular direction. The book describes many significant results and research directions developed by the author and other Chinese complex analysts and published in Chinese mathematical journals. A comprehensive and selfcontained reference, this book would be useful for graduate students and researchers in complex analysis. Readership Graduate students and researchers in complex analysis. Table of Contents  Preface
 The Nevanlinna theory
 The singular directions
 The deficient value theory
 The asymptotic value theory
 The relationship between deficient values and asymptotic values of an entire function
 The relationship between deficient values of a meromorphic function and direct transcendental singularities of its inverse functions
 Some supplementary results
 References
