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Asymptotic Values Of Holomorphic Functions


Asymptotic Values Of Holomorphic Functions
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Asymptotic Values Of Holomorphic Functions


Asymptotic Values Of Holomorphic Functions
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Author : Gerald R. MacLane
language : en
Publisher:
Release Date : 1963

Asymptotic Values Of Holomorphic Functions written by Gerald R. MacLane and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1963 with Asymptotes categories.




Monograph In Mathematics


Monograph In Mathematics
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Author : G. R. MacLane
language : en
Publisher:
Release Date : 1963

Monograph In Mathematics written by G. R. MacLane and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1963 with Holomorphic functions categories.




Entire Functions And Related Parts Of Analysis


Entire Functions And Related Parts Of Analysis
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Author : Jacob Korevaar
language : en
Publisher: American Mathematical Soc.
Release Date : 1968-12-31

Entire Functions And Related Parts Of Analysis written by Jacob Korevaar and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968-12-31 with Mathematics categories.




Value Distribution Of Meromorphic Functions


Value Distribution Of Meromorphic Functions
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Author : Anatoliĭ Asirovich Golʹdberg
language : en
Publisher: American Mathematical Soc.
Release Date :

Value Distribution Of Meromorphic Functions written by Anatoliĭ Asirovich Golʹdberg and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.


"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." "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 Ermenko 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."--BOOK JACKET.



Normal Families And Normal Functions


Normal Families And Normal Functions
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Author : Peter V. Dovbush
language : en
Publisher: CRC Press
Release Date : 2024-02-27

Normal Families And Normal Functions written by Peter V. Dovbush and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-02-27 with Mathematics categories.


This book centers on normal families of holomorphic and meromorphic functions and also normal functions. The authors treat one complex variable, several complex variables, and infinitely many complex variables (i.e., Hilbert space). The theory of normal families is more than 100 years old. It has played a seminal role in the function theory of complex variables. It was used in the first rigorous proof of the Riemann mapping theorem. It is used to study automorphism groups of domains, geometric analysis, and partial differential equations. The theory of normal families led to the idea, in 1957, of normal functions as developed by Lehto and Virtanen. This is the natural class of functions for treating the Lindelof principle. The latter is a key idea in the boundary behavior of holomorphic functions. This book treats normal families, normal functions, the Lindelof principle, and other related ideas. Both the analytic and the geometric approaches to the subject area are offered. The authors include many incisive examples. The book could be used as the text for a graduate research seminar. It would also be useful reading for established researchers and for budding complex analysts.



The Theory Of Cluster Sets


The Theory Of Cluster Sets
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Author : E. F. Collingwood
language : en
Publisher: Cambridge University Press
Release Date : 2004-06-03

The Theory Of Cluster Sets written by E. F. Collingwood and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-06-03 with Mathematics categories.


An introduction to the theory of cluster sets, a branch of topological analysis.



Value Distribution Theory And Related Topics


Value Distribution Theory And Related Topics
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Author : Grigor A. Barsegian
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-05-02

Value Distribution Theory And Related Topics written by Grigor A. Barsegian and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-05-02 with Mathematics categories.


The Nevanlinna theory of value distribution of meromorphic functions, one of the milestones of complex analysis during the last century, was c- ated to extend the classical results concerning the distribution of of entire functions to the more general setting of meromorphic functions. Later on, a similar reasoning has been applied to algebroid functions, subharmonic functions and meromorphic functions on Riemann surfaces as well as to - alytic functions of several complex variables, holomorphic and meromorphic mappings and to the theory of minimal surfaces. Moreover, several appli- tions of the theory have been exploited, including complex differential and functional equations, complex dynamics and Diophantine equations. The main emphasis of this collection is to direct attention to a number of recently developed novel ideas and generalizations that relate to the - velopment of value distribution theory and its applications. In particular, we mean a recent theory that replaces the conventional consideration of counting within a disc by an analysis of their geometric locations. Another such example is presented by the generalizations of the second main theorem to higher dimensional cases by using the jet theory. Moreover, s- ilar ideas apparently may be applied to several related areas as well, such as to partial differential equations and to differential geometry. Indeed, most of these applications go back to the problem of analyzing zeros of certain complex or real functions, meaning in fact to investigate level sets or level surfaces.



Nonlinear Functional Analysis And Its Applications Part 1


Nonlinear Functional Analysis And Its Applications Part 1
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Author : Felix E. Browder
language : en
Publisher: American Mathematical Soc.
Release Date : 1986

Nonlinear Functional Analysis And Its Applications Part 1 written by Felix E. Browder and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Mathematics categories.




Analytic Functions


Analytic Functions
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Author : Rolf Nevanlinna
language : en
Publisher: Springer
Release Date : 2013-12-20

Analytic Functions written by Rolf Nevanlinna and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-20 with Mathematics categories.


The present monograph on analytic functions coincides to a lar[extent with the presentation of the modern theory of single-value analytic functions given in my earlier works "Le theoreme de Picarc Borel et la theorie des fonctions meromorphes" (Paris: Gauthier-Villar 1929) and "Eindeutige analytische Funktionen" (Die Grundlehren dt mathematischen Wissenschaften in Einzeldarstellungen, VoL 46, 1: edition Berlin: Springer 1936, 2nd edition Berlin-Gottingen-Heidelberg Springer 1953). In these presentations I have strived to make the individual result and their proofs readily understandable and to treat them in the ligh of certain guiding principles in a unified way. A decisive step in thi direction within the theory of entire and meromorphic functions consiste- in replacing the classical representation of these functions through ca nonical products with more general tools from the potential theor (Green's formula and especially the Poisson-Jensen formula). On thi foundation it was possible to introduce the quantities (the characteristic the proximity and the counting functions) which are definitive for th



Research Problems In Function Theory


Research Problems In Function Theory
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Author : Walter K. Hayman
language : en
Publisher: Springer Nature
Release Date : 2019-09-07

Research Problems In Function Theory written by Walter K. Hayman and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-07 with Mathematics categories.


In 1967 Walter K. Hayman published ‘Research Problems in Function Theory’, a list of 141 problems in seven areas of function theory. In the decades following, this list was extended to include two additional areas of complex analysis, updates on progress in solving existing problems, and over 520 research problems from mathematicians worldwide. It became known as ‘Hayman's List’. This Fiftieth Anniversary Edition contains the complete ‘Hayman's List’ for the first time in book form, along with 31 new problems by leading international mathematicians. This list has directed complex analysis research for the last half-century, and the new edition will help guide future research in the subject. The book contains up-to-date information on each problem, gathered from the international mathematics community, and where possible suggests directions for further investigation. Aimed at both early career and established researchers, this book provides the key problems and results needed to progress in the most important research questions in complex analysis, and documents the developments of the past 50 years.