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Title Complex analysis I : entire and meromorphic functions, polyanalytic functions and their generalizations / A.A. Gonchar, V.P. Havin, N.K. Nikolski (eds.).

Published Berlin ; New York : Springer, [1997]


Location Call No. Status
Uniform title Kompleksny橠analiz, odna peremenna멡젱. English.
Physical description 1 online resource (261 pages)
Series Encyclopaedia of mathematical sciences, 0938-0396 ; volume 85
Encyclopaedia of mathematical sciences ; v. 85. 0938-0396
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 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.
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.)
Standard Number 10.1007/978-3-662-03396-8