Value distribution of meromorphic functions
by Golʹdberg, A. A., (Anatoliĭ Asirovich)
"This book contains a comprehensive exposition of the Nevanlinna theory of meromorphic functions of one complex variable, with detailed study of deficiencies, value distribution, and asymptotic properties of meromorphic functions." "The main body of the book is a translation of the Russian original published in 1970, which has been one of the most popular sources in this field since then. New references and footnotes related to recent achievements in the topics considered in the original editio…
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- Full title :Value distribution of meromorphic functions / Anatoly A. Goldberg, Iossif V. Ostrovskii ; translated by Mikhail Ostrovskii ; with an appendix by Alexandre Eremenko and James K. Langley.
Summary
"This book contains a comprehensive exposition of the Nevanlinna theory of meromorphic functions of one complex variable, with detailed study of deficiencies, value distribution, and asymptotic properties of meromorphic functions." "The main body of the book is a translation of the Russian original published in 1970, which has been one of the most popular sources in this field since then. New references and footnotes related to recent achievements in the topics considered in the original edition have been added and a few corrections made. A new Appendix with a survey of the results obtained after 1970 and extensive bibliography has been written by Alexandre Ermenko and James K. Langley for this English edition." "The only prerequisite for understanding material of this book is an undergraduate course in the theory of functions of one complex variable."--Jacket.
Read More ↓Edition Statements
- Publication Date:©2008.
- Edition:[English ed.]
Publication Statements
- Publisher(s):American mathematical Society
- Place of Publication:Providence, R.I
- Language:eng
- Publication Date:©2008.
Notes
Translated from the Russian.
The Physical Object
- Description:xv, 488 pages : : illustrations ; : 26 cm.
Edition Identifiers
- ISBN:9780821842652, 082184265X
- oclc:ocn191090498
- LC Classification:QA331
- Dewey Decimal:515/.982
Table of Contents
Ch. 1. Characteristics of the Behavior of a Meromorphic Function and the First Fundamental Theorem -- Ch. 2. Meromorphic Functions of Finite Order -- Ch. 3. The Second Fundamental Theorem -- Ch. 4. Deficient Values -- Ch. 5. Asymptotic Properties of Meromorphic Functions and Deficiencies -- Ch. 6. Value Distribution with Respect to the Arguments -- Ch. 7. Applications of Riemann Surfaces to Value Distribution -- Appendix A. On the Magnitude of Type for an Entire Function -- Appendix B. A Survey of Some Results after 1970 / A. Eremenko and J. K. Langley -- References Added to the English Edition.
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