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Author : Hermann Weyl
Publisher : Princeton University Press
Page : 269 pages
File Size : 51,5 Mb
Release : 2016-03-02
Category : Mathematics
ISBN : 9781400882281
The description for this book, Meromorphic Functions and Analytic Curves. (AM-12), will be forthcoming.
Author : Hermann Weyl
Publisher : Unknown
Page : 269 pages
File Size : 52,8 Mb
Release : 1992
Category : Electronic
ISBN : OCLC:468231845
Author : Hermann Weyl,Fritz Joachim Weyl
Publisher : Unknown
Page : 269 pages
File Size : 41,6 Mb
Release : 1965
Category : Curves
ISBN : OCLC:1024469885
Author : Kichoon Yang
Publisher : Springer Science & Business Media
Page : 208 pages
File Size : 52,8 Mb
Release : 2013-11-27
Category : Mathematics
ISBN : 9789401591515
This book contains an exposition of the theory of meromorphic functions and linear series on a compact Riemann surface. Thus the main subject matter consists of holomorphic maps from a compact Riemann surface to complex projective space. Our emphasis is on families of meromorphic functions and holomorphic curves. Our approach is more geometric than algebraic along the lines of [Griffiths-Harrisl]. AIso, we have relied on the books [Namba] and [Arbarello-Cornalba-Griffiths-Harris] to agreat exten- nearly every result in Chapters 1 through 4 can be found in the union of these two books. Our primary motivation was to understand the totality of meromorphic functions on an algebraic curve. Though this is a classical subject and much is known about meromorphic functions, we felt that an accessible exposition was lacking in the current literature. Thus our book can be thought of as a modest effort to expose parts of the known theory of meromorphic functions and holomorphic curves with a geometric bent. We have tried to make the book self-contained and concise which meant that several major proofs not essential to further development of the theory had to be omitted. The book is targeted at the non-expert who wishes to leam enough about meromorphic functions and holomorphic curves so that helshe will be able to apply the results in hislher own research. For example, a differential geometer working in minimal surface theory may want to tind out more about the distribution pattern of poles and zeros of a meromorphic function.
Author : Jianhua Zheng
Publisher : Springer Science & Business Media
Page : 315 pages
File Size : 53,7 Mb
Release : 2011-03-31
Category : Mathematics
ISBN : 9783642129094
"Value Distribution of Meromorphic Functions" focuses on functions meromorphic in an angle or on the complex plane, T directions, deficient values, singular values, potential theory in value distribution and the proof of the celebrated Nevanlinna conjecture. The book introduces various characteristics of meromorphic functions and their connections, several aspects of new singular directions, new results on estimates of the number of deficient values, new results on singular values and behaviours of subharmonic functions which are the foundation for further discussion on the proof of the Nevanlinna conjecture. The independent significance of normality of subharmonic function family is emphasized. This book is designed for scientists, engineers and post graduated students engaged in Complex Analysis and Meromorphic Functions. Dr. Jianhua Zheng is a Professor at the Department of Mathematical Sciences, Tsinghua University, China.
Author : A.A. Gonchar,Viktor P. Havin,N.K. Nikolski
Publisher : Springer Science & Business Media
Page : 268 pages
File Size : 47,5 Mb
Release : 2013-11-11
Category : Mathematics
ISBN : 9783662033968
A two-part volume containing a comprehensive description of the theory of entire and meromorphic functions of one complex variable and its applications, and a detailed review of recent investigations concerning the function-theoretical pecularities of polyanalytic functions (boundary behaviour, value distributions, degeneration, uniqueness etc).
Author : A.A. Gonchar,Viktor P. Havin,N.K. Nikolski
Publisher : Springer
Page : 261 pages
File Size : 46,9 Mb
Release : 2012-11-30
Category : Mathematics
ISBN : 3662033976
A two-part volume containing a comprehensive description of the theory of entire and meromorphic functions of one complex variable and its applications, and a detailed review of recent investigations concerning the function-theoretical pecularities of polyanalytic functions (boundary behaviour, value distributions, degeneration, uniqueness etc).
Author : Aldo Andreotti,Wilhelm Stoll
Publisher : Unknown
Page : 400 pages
File Size : 44,7 Mb
Release : 2014-09-01
Category : Electronic
ISBN : 3662207184
Author : Aldo Andreotti,Wilhelm Stoll
Publisher : Lecture Notes in Mathematics
Page : 404 pages
File Size : 49,9 Mb
Release : 1971
Category : Mathematics
ISBN : UOM:39015038991165
Author : Walter Kurt Hayman
Publisher : Unknown
Page : 220 pages
File Size : 51,5 Mb
Release : 1964
Category : Functions, Meromorphic
ISBN : UCAL:B5008542
Author : Anonim
Publisher : Unknown
Page : 340 pages
File Size : 54,8 Mb
Release : 1958
Category : Analytic functions
ISBN : STANFORD:36105002055304
Author : Hermann Weyl,Fritz Joachim Weyl
Publisher : Unknown
Page : 288 pages
File Size : 44,7 Mb
Release : 1940
Category : Functions
ISBN : MINN:319510002326124
Author : Joseph Leonard Walsh
Publisher : American Mathematical Soc.
Page : 394 pages
File Size : 48,6 Mb
Release : 1950-12-31
Category : Mathematics
ISBN : 9780821846438
This book is concerned with the critical points of analytic and harmonic functions. A critical point of an analytic function means a zero of its derivative, and a critical point of a harmonic function means a point where both partial derivatives vanish. The analytic functions considered are largely polynomials, rational functions, and certain periodic, entire, and meromorphic functions. The harmonic functions considered are largely Green's functions, harmonic measures, and various linear combinations of them. The interest in these functions centers around the approximate location of their critical points. The approximation is in the sense of determining minimal regions in which all the critical points lie or maximal regions in which no critical point lies. Throughout the book the author uses the single method of regarding the critical points as equilibrium points in fields of force due to suitable distribution of matter. The exposition is clear, complete, and well-illustrated with many examples.
Author : Hans Grauert
Publisher : Springer
Page : 243 pages
File Size : 50,8 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540398295
Author : Anonim
Publisher : Unknown
Page : 220 pages
File Size : 51,6 Mb
Release : 1960
Category : Analytic functions
ISBN : STANFORD:36105030764067