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Friday, May 8, 2020 | History

5 edition of Value distribution of meromorphic functions found in the catalog.

Value distribution of meromorphic functions

by Jianhua Zheng

  • 371 Want to read
  • 10 Currently reading

Published by Springer in Heidelberg, New York .
Written in English

    Subjects:
  • Meromorphic Functions

  • Edition Notes

    Includes bibliographical references.

    StatementJianhua Zheng
    Classifications
    LC ClassificationsQA331 .Z44 2010
    The Physical Object
    Paginationvi, 308 p. ;
    Number of Pages308
    ID Numbers
    Open LibraryOL25193993M
    ISBN 103642129080
    ISBN 109783642129087
    LC Control Number2010927409
    OCLC/WorldCa690089180

    Value Distribution Theory for Meromorphic Maps (Aspects of Mathematics) | W. Stoll | download | B–OK. Download books for free. Find books.   The book first explains the main properties of analytic functions in order to use them in the study of various problems in p-adic value distribution. Certain properties of p-adic transcendental numbers are examined such as order and type of transcendence, with problems on p-adic exponentials.

    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 Price: $ Recently, many papers (see [2–7]) have focused on complex differences, giving many difference analogues in value distribution theory of meromorphic functions. It is well known that (where is a constant satisfying is regarded as the difference counterpart of, so that is regarded as the difference counterpart of, where is a by:

    Abstract. We investigate value distribution and uniqueness problems of meromorphic functions with their obtain that if is a transcendental meromorphic (or entire) function of zero order, and is a polynomial, then has infinitely many zeros, where, is nonzero constant, and (or).We also obtain that zero-order meromorphic function share is three distinct values IM with its -difference Author: Haiwa Guan, Gang Wang, Qiuqin Luo. Meromorphic functions of several complex variables. Let be a domain in (or an -dimensional complex manifold) and let be a (complex-) analytic subset of codimension one (or empty). A holomorphic function defined on is called a meromorphic function in if for every point one can find an arbitrarily small neighbourhood of in and functions holomorphic in without common non-invertible factors in.


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Value distribution of meromorphic functions by Jianhua Zheng Download PDF EPUB FB2

Value Distribution of Meromorphic Functions - Kindle edition by Zheng, Jianhua. Download it once and read it on your Kindle device, PC, phones or tablets.

Use features like bookmarks, note taking and highlighting while reading Value Distribution of Meromorphic cturer: Springer. This book focuses on meromorphic functions in an angle or on the complex plane, T directions, deficient values, singular values, potential theory in value distribution and the proof of the Nevanlinna It presents new aspects and covers new results.

"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. Get this from a library. Value distribution of meromorphic functions. [A A Golʹdberg; I V Ostrovskiĭ] -- "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.

The various characteristics of meromorphic functions are main tool in the study of value distribution of meromorphic functions this book will introduce. "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 variousBrand: Springer-Verlag Berlin Heidelberg. Meromorphic functions representable by series of simple fractions Chapter 6. Value distribution with respect to the arguments 1. Meromorphic functions with separated poles and zeros 2. Meromorphic functions with poles and zeros located close to a system of rays 3.

Proofs of main Theorems and 4. CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): surfaces. Abstract. This ia a translation of the monograph originally published in It contains a comprehensive exposition of the Nevanlinna theory of meromorphic functions of one complex variable, with the emphasis on the detailed study of deficiencies, distribution of values with respect to arguments and.

: Value Distribution of Meromorphic Functions (Translations of Mathematical Monographs, Vol. ) () by Anatoly A.

Goldberg; Iossif V. Ostrovskii and a great selection of similar New, Used and Collectible Books available now at great prices.4/5(1). 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.

A self-contained exposition of the inverse problem for meromorphic functions of finite order with finitely many Cited by: 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.

For real functions, there is nothing that even remotely corresponds to this. This book is an introduction to the theory of entire and meromorphic functions, with a heavy emphasis on Nevanlinna theory, otherwise known as value-distribution theory. springer, 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. The value-distribution theory of meromorphic functions in the open complex plane has been described above; this is the parabolic case.

A theory of growth and value distribution can also be set up in the hyperbolic case, that is, when is a function meromorphic in the unit disc (see [1], [8]). 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.

VALUE DISTRIBUTION OF MEROMORPHIC FUNCTIONS IN THE PUNCTURED PLANE 4. Functions with maximal deficiency sum. Finally, we shall consider a possible exten-sion to the punctured plane of the following theorem of Pfluger [11].

Theorem 4. Given an integral function in the plane f(z) of finite order for which ∑ a δ(aν,f) = 1, (6). It is especially important to investigate the number n(r, J = a) of the roots of (1) and their distribution in a disk Izl ~ r, each root being counted with its multiplicity. It was the research on such topics that raised the curtain on the theory of value distribution of entire or meromorphic : Springer-Verlag Berlin Heidelberg.

In the mathematical field of complex analysis, Nevanlinna theory is part of the theory of meromorphic was devised inby Rolf Nevanlinna. Hermann Weyl has called it "one of the few great mathematical events of (the twentieth) century." The theory describes the asymptotic distribution of solutions of the equation f(z) = a, as a varies.

A fundamental tool is the Nevanlinna. In the mathematical field of complex analysis, a meromorphic function on an open subset D of the complex plane is a function that is holomorphic on all of D except for a set of isolated points, which are poles of the function.

The term comes from the Ancient Greek meros (), meaning "part". Every meromorphic function on D can be expressed as the ratio between two holomorphic functions (with. In mathematics, the value distribution theory of holomorphic functions is a division of mathematical tries to get quantitative measures of the number of times a function f(z) assumes a value a, as z grows in size, refining the Picard theorem on behaviour close to an essential theory exists for analytic functions (and meromorphic functions) of one complex variable z.

Value Distribution of Meromorphic Functions Anatoly A. Goldberg and Iossif V. Ostrovskii Publication Year: ISBN X ISBN Translations of Mathematical Monographs, vol. Value Distribution Theory of Meromorphic Functions K. S. Charak Department of Mathematics, University of Jammu, JammuIndia.

E-mail: [email protected] Abstract. The Value Distribution Theory of Nevanlinna is about a century old and still is an active area of research. It has a wide range of applications within and outside.Abstract: In this chapter, we will define and examine the basic properties of meromorphic functions: relations with poles of analytic elements, absolute values on fields of meromorphic functions defined by circular filters, value of the derivative on a circular filter, development in a Laurent series in an annulus, existence of primitives.