Описание: This book offers a modern introduction to Nevanlinna theory and its intricate relation to the theory of normal families, algebraic functions, asymptotic series, and algebraic differential equations.
Following a comprehensive treatment of Nevanlinna's theory of value distribution, the author presents advances made since Hayman's work on the value distribution of differential polynomials and illustrates how value- and pair-sharing problems are linked to algebraic curves and Briot-Bouquet differential equations. In addition to discussing classical applications of Nevanlinna theory, the book outlines state-of-the-art research, such as the effect of the Yosida and Zalcman-Pang method of re-scaling to algebraic differential equations, and presents the Painlev -Yosida theorem, which relates Painlev transcendents and solutions to selected 2D Hamiltonian systems to certain Yosida classes of meromorphic functions.
Aimed at graduate students interested in recent developments in the field and researchers working on related problems, Nevanlinna Theory, Normal Families, and Algebraic Differential Equations will also be of interest to complex analysts looking for an introduction to various topics in the subject area. With examples, exercises and proofs seamlessly intertwined with the body of the text, this book is particularly suitable for the more advanced reader.
Автор: Serge Lang; William Cherry Название: Topics in Nevanlinna Theory ISBN: 3540527850 ISBN-13(EAN): 9783540527855 Издательство: Springer Рейтинг: Цена: 3487.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Presents notes of lectures on Nevanlinna theory, in the classical case of meromorphic functions, and the generalization by Carlson-Griffith to equidimensional holomorphic maps using as domain space finite coverings of C resp. Cn.
Описание: This book reviews higher dimensional Nevanlinna theory and its relationship with Diophantine approximation theory. Coverage builds up from the classical theory of meromorphic functions on the complex plane with full proofs, to the current state of research.
Описание: This book reviews higher dimensional Nevanlinna theory and its relationship with Diophantine approximation theory. Coverage builds up from the classical theory of meromorphic functions on the complex plane with full proofs, to the current state of research.
Автор: Frithjof Nevanlinna; Phillip Emig; Phillip Emig; R Название: Absolute Analysis ISBN: 3662002515 ISBN-13(EAN): 9783662002513 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The first edition of this book, published in German, came into being as the result of lectures which the authors held over a period of several years since 1953 at the Universities of Helsinki and Zurich. The present new English edition deviates at several points from the first edition (d.
Автор: Olavi Nevanlinna Название: Convergence of Iterations for Linear Equations ISBN: 3764328657 ISBN-13(EAN): 9783764328658 Издательство: Springer Рейтинг: Цена: 4884.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Discussing the convergence of Krylov subspace methods for solving fixed point problems, this work focuses on the dynamical aspects of the iteration processes and outlines all the phases of a lifespan of an iteration.
Автор: Paul Alan Vojta Название: Diophantine Approximations and Value Distribution Theory ISBN: 3540175512 ISBN-13(EAN): 9783540175513 Издательство: Springer Рейтинг: Цена: 3487.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Yang Lo Название: Value Distribution Theory ISBN: 3662029170 ISBN-13(EAN): 9783662029176 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: It is well known that solving certain theoretical or practical problems often depends on exploring the behavior of the roots of an equation such as (1) J(z) = a, where J(z) is an entire or meromorphic function and a is a complex value.
Автор: Grigor A. Barsegian; Ilpo Laine; Chung-Chun Yang Название: Value Distribution Theory and Related Topics ISBN: 1475780184 ISBN-13(EAN): 9781475780185 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: 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.
Автор: T. Kuroda; L. Sario; K. Noshiro; K. Matsumoto; M. Название: Value Distribution Theory ISBN: 1461581281 ISBN-13(EAN): 9781461581284 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The purpose of this research monograph is to build up a modern value distribution theory for complex analytic mappings between abstract Riemann surfaces. Chapter VI, pre- dominantly due to the second named author, presents the so-called nonintegrated forms of the main theorems and includes some joint work by both authors.
Автор: Korhonen Risto Et Al Название: Tropical Value Distribution Theory And Ultra-Discrete Equations ISBN: 9814632791 ISBN-13(EAN): 9789814632799 Издательство: World Scientific Publishing Рейтинг: Цена: 15048.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This is the first textbook-type presentation of tropical value distribution theory. It provides a detailed introduction of the tropical version of the Nevanlinna theory, describing growth and value distribution analysis of continuous, piecewise linear functions on the real axis. The book also includes applications of this theory to ultra-discrete equations. Three appendices are given to compare the contents of the theory with the classical counterparts in complex analysis.
Detailed presentation of the proofs makes the book accessible for lecture courses and independent studies at the graduate and post-doctoral level.
