Value Distribution Theory

Yang Lo

ISBN 10: 3662029170 / ISBN 13: 9783662029176

Published by Springer Berlin Heidelberg, 2013

About this Item

Druck auf Anfrage Neuware - Printed after ordering - 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. 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 functions. In the last century, the famous mathematician E. Picard obtained the pathbreaking result: Any non-constant entire function J(z) must take every finite complex value infinitely many times, with at most one excep tion. Later, E. Borel, by introducing the concept of the order of an entire function, gave the above result a more precise formulation as follows. An entire function J (z) of order A( 0 oo logr for every finite complex value a, with at most one exception. This result, generally known as the Picard-Borel theorem, lay the foundation for the theory of value distribution and since then has been the source of many research papers on this subject.

Seller Inventory # 9783662029176

Bibliographic Details

• Title: Value Distribution Theory
• Publisher: Springer Berlin Heidelberg
• Publication Date: 2013
• Language: English
• ISBN 10: 3662029170
• ISBN 13: 9783662029176
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 244W x 170H x 16D millimeters 244 millimeters width by 170 millimeters height by 16 millimeters depth
• Weight: 495 grams

About this title

Synopsis

This book offers a brief introduction into value distribution theory, including recent developments in this field. The results and methods of the last 20 years are presented in 4 chapters for the first time in book form. The book will be of interest both to researchers and to graduate students who will find the necessary basic knowledge about Nevanlinna theory, normal family and Borel direction.