Uniform title 
Kompleksny橠analiz, odna peremenna멡젱. English.

Physical description 
1 online resource (261 pages) 
Series 
Encyclopaedia of mathematical sciences, 09380396 ; volume 85


Encyclopaedia of mathematical sciences ; v. 85. 09380396

Bibliography 
Includes bibliographical references and indexes. 
Contents 
Entire and meromorphic functions / A.A. Gol䢥rg, B. Ya. Levin, I.V. Ostrovskii  Polyanalytic functions and their generalizations / M.B. Balk. 
Summary 
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 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. They emerged for the first time in plane elasticity theory where they found important applications (due to Kolossof, Mushelishvili etc.). This book contains a detailed review of recent investigations concerning the functiontheoretical pecularities of polyanalytic functions (boundary behavour, value distributions, degeneration, uniqueness etc.). Polyanalytic functions have many points of contact with such fields of analysis as polyharmonic functions, Nevanlinna Theory, meromorphic curves, cluster set theory, functions of several complex variables etc. 
Language notes 
Translated from the Russian. 
Notes 
Description based on print version record. 
Other author 
Gonchar, A. A. (Andrei A.)


Khavin, Viktor Petrovich.


Nikol㫩橬 N. K. (Nikola橠Kapitonovich)

Subject 
Functions of complex variables.


Functions, Entire.


Functions, Meromorphic.


Analytic functions.


Fonctions entiᥲes. 

Fonctions m⥲omorphes. 

Fonctions de plusieurs variables complexes. 

Analytic functions. 

Functions, Entire. 

Functions, Meromorphic. 

Functions of complex variables. 

Electronic books. 
ISBN 
9783662033968 (electronic bk.) 

3662033968 (electronic bk.) 

3540547037 

9783540547037 
Standard Number 
10.1007/9783662033968 
