An edition of Complex analysis I (1997)

Complex Analysis I

Entire and Meromorphic Functions Polyanalytic Functions and Their Generalizations

Complex Analysis I
A. A. Gonchar, V. I. Rublinets ...
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December 30, 2021 | History
An edition of Complex analysis I (1997)

Complex Analysis I

Entire and Meromorphic Functions Polyanalytic Functions and Their Generalizations

The first part of the volume contains a comprehensive description of the theory of entire and meromorphic functions of one complex variable and its applications. It includes the fundamental notions, methods and results on the growth of entire functions and the distribution of their zeros, the Rolf Nevanlinna theory of distribution of values of meromorphic functions including the inverse problem, the theory of completely regular growth, the concept of limit sets for entire and subharmonic functions.

The authors describe the applications to the interpolation by entire functions, to entire and meromorphic solutions of ordinary differential equations, to the Riemann boundary problem with an infinite index and to the arithmetic of the convolution semigroup of probability distributions.

Polyanalytic functions form one of the most natural generalizations of analytic functions and are described in Part II. This contribution contains a detailed review of recent investigations concerning the function-theoretical peculiarities of polyanalytic functions (boundary behaviour, value distributions, degeneration, uniqueness etc.).

Publish Date
Publisher
Springer
Language
English

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Edition Availability
Cover of: Complex Analysis I
Cover of: Complex Analysis I
Complex Analysis I: Entire and Meromorphic Functions
2010, Springer
in English
Cover of: Complex Analysis I
Cover of: Complex analysis I

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Classifications

Library of Congress
QA1-939

The Physical Object

Pagination
ix, 261

ID Numbers

Open Library
OL36314482M
ISBN 13
9783662033968

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Better World Books record

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December 30, 2021 Created by ImportBot Imported from Better World Books record