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Uniqueness Theory of Meromorphic Functions (Mathematics and Its Applications)

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Published by Springer .
Written in English

Subjects:

  • Complex analysis,
  • Mathematical modelling,
  • Mathematics for scientists & engineers,
  • Mathematics,
  • Science/Mathematics,
  • Mathematical Analysis,
  • Mathematics / Mathematical Analysis,
  • General

Book details:

The Physical Object
FormatHardcover
Number of Pages570
ID Numbers
Open LibraryOL8370678M
ISBN 101402014481
ISBN 109781402014482

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About this book This book is the first monograph in the field of uniqueness theory of meromorphic functions dealing with conditions under which there is the unique function satisfying given hypotheses. This book is the first monograph in the field of uniqueness theory of meromorphic functions dealing with conditions under which there is the unique function satisfying given hypotheses. This book systematically summarizes the most important results in the field, including many of the authors' own previously unpublished results. Uniqueness Theory of Meromorphic Functions by Chung-Chun Yang, , available at Book Depository with free delivery worldwide. - Buy Uniqueness Theory of Meromorphic Functions (Mathematics and Its Applications) book online at best prices in India on Read Uniqueness Theory of Meromorphic Functions (Mathematics and Its Applications) book reviews & author details and more at Free delivery on qualified : Chung-Chun Yang, Hong-Xun Yi.

Book January There existed many famous results about the uniqueness theory of meromorphic functions sharing values. In , Nevanlinna [12] . This book is the first monograph in the field of uniqueness theory of meromorphic functions dealing with conditions under which there is the unique function satisfying given hypotheses. Uniqueness Theory- This book is the first monograph in the field of uniqueness theory of meromorphic functions dealing with conditions under which there is the unique function satisfying given hypotheses. 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 Painlevé–Yosida theorem, which relates Painlevé transcendents and solutions to selected 2D Hamiltonian systems to certain Yosida classes of .

AbstractWe prove a periodic theorem of meromorphic functions of hyper-order ρ2(f) uniqueness theorem on periodic meromorphic functions. In addition, we show the accuracy of the results by giving some examples. Abstract Combining value distribution theory and the classical function theory to study uniqueness theorems of meromorphic functions has become an interesting and active field in recent years. Nevanlinna himself proved his famous five-value theorem and four-value theorem right after his establishment of the value distribution theory around Abstract: In this paper, we deal with a problem of uniqueness for meromorphic functions defined in the whole plane C under certain value/set-sharing conditions in a sector instead of the plane. In this paper, we study the uniqueness problems of meromorphic functions and their difference operators. Our main result is a difference analogue of a result of Jank–Mues–Volkmann, which is concerned with the uniqueness of an entire function sharing one finite value with its derivatives. Some recent papers studied the case of entire functions of finite order sharing a periodic small.