Value distribution theory and related topics
- 其他作者: Barsegian, Grigor A., , Laine, Ilpo, , Yang, Chung-Chun,
- 出版: Boston : Kluwer Academic Publishers ©2004.
- 稽核項: 1 online resource (vi, 333 pages).
- 叢書名: Advances in complex analysis and its applications ;v. 3
- 標題: MATHEMATICS , Electronic books. , MATHEMATICS Complex Analysis. , Value distribution theory. , Complex Analysis.
- ISBN: 1402079516 , 9781402079511
- ISBN: 9781402079504 , 1402079508
- 試查全文@TNUA:
- 附註: Includes bibliographical references. Part I. Geometric value distribution theory -- A new program of investigations in analysis : Gamma-lines approaches / Barsegian, G. -- On level sets of quasiconformal mappings / Sukiasyan, G. -- Part II. Classical value distribution theory -- On the unintegrated Nevanlinna fundamental inequality for meromorphic functions of slow growth / Alonso, A., Fernandez, A. and Perez, J. -- On some new concept of exceptional values / Barsegian, G. and Yang, C.-C. -- Maximum modulus points, deviations and spreads of meromorphic functions / Ciechanowicz, E. and Marchenko, I. -- Composition theorems, multiplier sequences and complex zero decreasing sequences / Craven, T. and Csordas, G. -- Nevanlinna theory in an annulus / Korhonen, R. -- On strong asymptotic tracts of functions holomorphic in a disk / Marchenko, I. and Nikolenko, I. -- Complex differential and functional equations / Marchenko, I. and Nikolenko, I. -- A new trend in complex differential equations : quasimeromorphic solutions / Barsegian, G., Sarkisian, A. and Yang, C.-C. -- On the functional equation P(f)=Q(g) / Ha, H.K. and Yang, C.-C. -- Part I. Geometric value distribution theory -- A new program of investigations in analysis : Gamma-lines approaches / Barsegian, G. -- On level sets of quasiconformal mappings / Sukiasyan, G. -- Part II. Classical value distribution theory -- On the unintegrated Nevanlinna fundamental inequality for meromorphic functions of slow growth / Alonso, A., Fernandez, A. and Perez, J. -- On some new concept of exceptional values / Barsegian, G. and Yang, C.-C. -- Maximum modulus points, deviations and spreads of meromorphic functions / Ciechanowicz, E. and Marchenko, I. -- Composition theorems, multiplier sequences and complex zero decreasing sequences / Craven, T. and Csordas, G. -- Nevanlinna theory in an annulus / Korhonen, R. -- On strong asymptotic tracts of functions holomorphic in a disk / Marchenko, I. and Nikolenko, I. -- Complex differential and functional equations / Marc
- 摘要: The volume consists of a collection of articles on the value distribution theory and its applications, both in one and several variables. The applied parts include problems related to geometric function theory, linear operators of entire functions, differential and functional equations, uniqueness and interpolation. A unique feature of the book is an extensive research program by the first editor on the Gamma-lines approach to analysis. Some aspects in the book consider Diophantine type equations for meromorphic functions, offering new challenges to complex analysis. Audience: Researchers and postgraduate students in complex analysis, differential equations and algebraic geometry would find this book of interest.
- 電子資源: https://dbs.tnua.edu.tw/login?url=https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=113688
- 系統號: 005322660
- 資料類型: 電子書
- 讀者標籤: 需登入
- 引用網址: 複製連結
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.
來源: Google Book
來源: Google Book
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