Share on TelegramComplex analysis I : entire and meromorphic functions, polyanalytic functions and their generalizations
Author: Gonchar, A. A. (Andrei A.), Khavin, Viktor Petrovich, Nikolʹskiĭ, N. K. (Nikolaĭ Kapitonovich)
Added by: sketch
Added Date: 2015-12-30
Language: eng
Subjects: Functions of complex variables, Functions, Entire, Functions, Meromorphic, Analytic functions, Fonksiyonlar, Kompleks değişkenli, Fonksiyonlar, Meromorfik, Analitik fonksiyonlar, Fonctions d'une variable complexe, Fonctions entières, Fonctions méromorphes, Fonctions analytiques, Fonctions de plusieurs variables complexes, Fonctions méromorphes, Fonctions de plusieurs variables complexes, Analytic functions, Functions, Entire, Functions, Meromorphic, Functions of complex variables
Publishers: Springer Berlin Heidelberg
Collections: folkscanomy miscellaneous, folkscanomy, additional collections
ISBN Number: 9783662033968, 3662033968, 9783642081279, 3642081274
Pages Count: 600
PPI Count: 600
PDF Count: 1
Total Size: 104.92 MB
PDF Size: 24.47 MB
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Description
Author: A. A. Gonchar, V. P. Havin, N. K. Nikolski
Published by Springer Berlin Heidelberg
ISBN: 978-3-642-08127-9
DOI: 10.1007/978-3-662-03396-8
Table of Contents:
- Entire and Meromorphic Functions
- Polyanalytic Functions and Their Generalizations
Includes bibliographical references and indexes
Entire and meromorphic functions / A.A. Golʹdberg, B. Ya. Levin, I.V. Ostrovskii -- Polyanalytic functions and their generalizations / M.B. Balk
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 function-theoretical 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
Description based on print version record
