Item Successfully Added to Cart
An error was encountered while trying to add the item to the cart. Please try again.
OK
Please make all selections above before adding to cart
OK
Share this page via the icons above, or by copying the link below:
Copy To Clipboard
Successfully Copied!
Value Distribution of Meromorphic Functions
 
Anatoly A. Goldberg Bar-Ilan University, Ramat Gan, Israel
Iossif V. Ostrovskii Bilkent University, Bilkent, Ankara, Turkey and Institute of Low Temperature Physics, Ukrainian Academy of Sciences, Kharkiv, Ukraine
Value Distribution of Meromorphic Functions
Hardcover ISBN:  978-0-8218-4265-2
Product Code:  MMONO/236
List Price: $165.00
MAA Member Price: $148.50
AMS Member Price: $132.00
eBook ISBN:  978-1-4704-4657-4
Product Code:  MMONO/236.E
List Price: $155.00
MAA Member Price: $139.50
AMS Member Price: $124.00
Hardcover ISBN:  978-0-8218-4265-2
eBook: ISBN:  978-1-4704-4657-4
Product Code:  MMONO/236.B
List Price: $320.00 $242.50
MAA Member Price: $288.00 $218.25
AMS Member Price: $256.00 $194.00
Value Distribution of Meromorphic Functions
Click above image for expanded view
Value Distribution of Meromorphic Functions
Anatoly A. Goldberg Bar-Ilan University, Ramat Gan, Israel
Iossif V. Ostrovskii Bilkent University, Bilkent, Ankara, Turkey and Institute of Low Temperature Physics, Ukrainian Academy of Sciences, Kharkiv, Ukraine
Hardcover ISBN:  978-0-8218-4265-2
Product Code:  MMONO/236
List Price: $165.00
MAA Member Price: $148.50
AMS Member Price: $132.00
eBook ISBN:  978-1-4704-4657-4
Product Code:  MMONO/236.E
List Price: $155.00
MAA Member Price: $139.50
AMS Member Price: $124.00
Hardcover ISBN:  978-0-8218-4265-2
eBook ISBN:  978-1-4704-4657-4
Product Code:  MMONO/236.B
List Price: $320.00 $242.50
MAA Member Price: $288.00 $218.25
AMS Member Price: $256.00 $194.00
  • Book Details
     
     
    Translations of Mathematical Monographs
    Volume: 2362008; 488 pp
    MSC: Primary 30

    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.

    A self-contained exposition of the inverse problem for meromorphic functions of finite order with finitely many deficiencies is given in full detail. Many results included in the book belong to the authors, and were previously available only in journal articles.

    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 Eremenko 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.

    Readership

    Graduate students and research mathematicians interested in complex analysis.

  • Table of Contents
     
     
    • Chapters
    • Characteristics of the behavior of a meromorphic function and the first fundamental theorem
    • Meromorphic functions of finite order
    • The second fundamental theorem
    • Deficient values
    • Asymptotic properties of meromorphic functions and deficiencies
    • Value distribution with respect to the arguments
    • Applications of Riemann surfaces to value distribution
    • On the magnitude of type for an entire function
    • Notes
    • A survey of some results after 1970
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 2362008; 488 pp
MSC: Primary 30

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.

A self-contained exposition of the inverse problem for meromorphic functions of finite order with finitely many deficiencies is given in full detail. Many results included in the book belong to the authors, and were previously available only in journal articles.

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 Eremenko 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.

Readership

Graduate students and research mathematicians interested in complex analysis.

  • Chapters
  • Characteristics of the behavior of a meromorphic function and the first fundamental theorem
  • Meromorphic functions of finite order
  • The second fundamental theorem
  • Deficient values
  • Asymptotic properties of meromorphic functions and deficiencies
  • Value distribution with respect to the arguments
  • Applications of Riemann surfaces to value distribution
  • On the magnitude of type for an entire function
  • Notes
  • A survey of some results after 1970
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.