Theory Of Entire And Meromorphic Functions
DOWNLOAD
FREE 30 Days
Download Theory Of Entire And Meromorphic Functions PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Theory Of Entire And Meromorphic Functions book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Entire And Meromorphic Functions
DOWNLOAD
FREE 30 Days
Author : Lee A. Rubel
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Entire And Meromorphic Functions written by Lee A. Rubel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Mathematics is a beautiful subject, and entire functions is its most beautiful branch. Every aspect of mathematics enters into it, from analysis, algebra, and geometry all the way to differential equations and logic. For example, my favorite theorem in all of mathematics is a theorem of R. NevanJinna that two functions, meromorphic in the whole complex plane, that share five values must be identical. 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. Things included here that occur in no other book (that we are aware of) are the Fourier series method for entire and mero morphic functions, a study of integer valued entire functions, the Malliavin Rubel extension of Carlson's Theorem (the "sampling theorem"), and the first-order theory of the ring of all entire functions, and a final chapter on Tarski's "High School Algebra Problem," a topic from mathematical logic that connects with entire functions. This book grew out of a set of classroom notes for a course given at the University of Illinois in 1963, but they have been much changed, corrected, expanded, and updated, partially for a similar course at the same place in 1993. My thanks to the many students who prepared notes and have given corrections and comments.
Theory Of Entire And Meromorphic Functions
DOWNLOAD
FREE 30 Days
Author : Guan-hou Zhang
language : en
Publisher: American Mathematical Soc.
Release Date : 1993-01-01
Theory Of Entire And Meromorphic Functions written by Guan-hou Zhang and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-01-01 with Mathematics categories.
This book was originally written in Chinese in 1986 by the noted complex analyst Zhang Guan-Hou, who was a research fellow at the Academia Sinica. The book provides a basic introduction to the development of the theory of entire and meromorphic functions from the 1950s to the early 1980s. After an opening chapter introducing fundamentals of Nevanlinna's value distribution theory, this book discusses various relationships among and developments of three central concepts: deficient value, asymptotic value, and singular direction. This book describes many significant results and research directions developed by Zhang and other Chinese complex analysts and published in Chinese mathematical journals. A comprehensive and self-contained reference, this book is useful for graduate students and researchers in complex analysis.
Theory Of Entire And Meromorphic Functions
DOWNLOAD
FREE 30 Days
Author : Guan-Hou Zhang
language : en
Publisher: American Mathematical Soc.
Release Date : 1993
Theory Of Entire And Meromorphic Functions written by Guan-Hou Zhang and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Mathematics categories.
This book was originally written in Chinese in 1986 by the noted complex analyst Zhang Guan-Hou, who was a research fellow at the Academia Sinica. The book provides a basic introduction to the development of the theory of entire and meromorphic functions from the 1950s to the early 1980s. After an opening chapter introducing fundamentals of Nevanlinna's value distribution theory, this book discusses various relationships among and developments of three central concepts: deficient value, asymptotic value, and singular direction. This book describes many significant results and research directions developed by Zhang and other Chinese complex analysts and published in Chinese mathematical journals. A comprehensive and self-contained reference, this book is useful for graduate students and researchers in complex analysis.
Introduction To The Theory Of Entire Functions
DOWNLOAD
FREE 30 Days
Author :
language : en
Publisher: Academic Press
Release Date : 1974-02-08
Introduction To The Theory Of Entire Functions written by and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974-02-08 with Mathematics categories.
Introduction to the Theory of Entire Functions
Complex Analysis I
DOWNLOAD
FREE 30 Days
Author : A.A. Gonchar
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11
Complex Analysis I written by A.A. Gonchar and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Mathematics categories.
A two-part volume containing a comprehensive description of the theory of entire and meromorphic functions of one complex variable and its applications, and a detailed review of recent investigations concerning the function-theoretical pecularities of polyanalytic functions (boundary behaviour, value distributions, degeneration, uniqueness etc).
Uniqueness Theory Of Meromorphic Functions
DOWNLOAD
FREE 30 Days
Author : Chung-Chun Yang
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-10-04
Uniqueness Theory Of Meromorphic Functions written by Chung-Chun Yang and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-10-04 with Mathematics categories.
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. Developed by R. Nevanlinna, a Finnish mathematician, early in the 1920's, research in the field has developed rapidly over the past three decades with a great deal of fruitful results. This book systematically summarizes the most important results in the field, including many of the authors' own previously unpublished results. In addition, useful skills and simple proofs are introduced. This book is suitable for higher level and graduate students who have a basic grounding in complex analysis, but will also appeal to researchers in mathematics.
Fix Points And Factorization Of Meromorphic Functions Topics In Complex Analysis
DOWNLOAD
FREE 30 Days
Author : Chung-chun Yang
language : en
Publisher: World Scientific
Release Date : 1990-01-01
Fix Points And Factorization Of Meromorphic Functions Topics In Complex Analysis written by Chung-chun Yang and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-01-01 with Mathematics categories.
The fix-points and factorization of meromorphic functions have become two research topics that have attracted many complex analysts' attention throughout the world; notably in U.S., China, and Japan. The first two chapters reintroduce Nevanlinna's theory of meromorphic functions and Montel's normal families theory for entire functions. Based on these, several theorems on fix-points were derived. The last two chapters introduce the factorization theory and the relationships between the fix-points and factorization; many recent results in factorization theory were reported and related open questions were raised for further study. This book provides a timely introduction to some of the topics that are currently pursued by many complex analysts. For instance, the fix-points of itrates of functions is closely related to the fractal mathematics, which has just been realized to be useful in many branches of engineering and physics as well as in computer graphics.
Complex Analysis I
DOWNLOAD
FREE 30 Days
Author : A.A. Gonchar
language : en
Publisher: Springer
Release Date : 2012-11-30
Complex Analysis I written by A.A. Gonchar and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-30 with Mathematics categories.
A two-part volume containing a comprehensive description of the theory of entire and meromorphic functions of one complex variable and its applications, and a detailed review of recent investigations concerning the function-theoretical pecularities of polyanalytic functions (boundary behaviour, value distributions, degeneration, uniqueness etc).
Fix Points And Factorization Of Meromorphic Functions
DOWNLOAD
FREE 30 Days
Author : Qitai Zhuang
language : en
Publisher: World Scientific
Release Date : 1990
Fix Points And Factorization Of Meromorphic Functions written by Qitai Zhuang and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Mathematics categories.
The fix-points and factorization of meromorphic functions have become two research topics that have attracted many complex analysts' attention throughout the world; notably in U.S., China, and Japan. The first two chapters reintroduce Nevanlinna's theory of meromorphic functions and Montel's normal families theory for entire functions. Based on these, several theorems on fix-points were derived. The last two chapters introduce the factorization theory and the relationships between the fix-points and factorization; many recent results in factorization theory were reported and related open questions were raised for further study. This book provides a timely introduction to some of the topics that are currently pursued by many complex analysts. For instance, the fix-points of itrates of functions is closely related to the fractal mathematics, which has just been realized to be useful in many branches of engineering and physics as well as in computer graphics.
On Generalized Growth Rates Of Integer Translated Entire And Meromorphic Functions
DOWNLOAD
FREE 30 Days
Author : Tanmay Biswas
language : en
Publisher: Bentham Science Publishers
Release Date : 2023-03-28
On Generalized Growth Rates Of Integer Translated Entire And Meromorphic Functions written by Tanmay Biswas and has been published by Bentham Science Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-28 with Mathematics categories.
The theory of entire and meromorphic functions is a very important area of complex analysis. This monograph aims to expand the discussion about some growth properties of integer translated composite entire and meromorphic functions on the basis of their (p,q,t)L order and (p,q,t)L type. This book presents six chapters. Chapter 1 introduces the reader to the preliminary definitions and notations. Chapter 2 and Chapter 3 discuss some results related to (p; q; t) Lth order and (p; q; t)Lth lower order of composite entire and meromorphic functions on the basis of their integer translation. Chapter 4 establishes some relations of integer translated composite entire and meromorphic functions based on their (p; q; t) Lth type and (p; q; t) Lth weak type. Chapter 5 deals with some results about (p; q; t) Lth order and (p; q; t) Lth type of composite entire and meromorphic functions on the basis of their integer translation. Chapter 6 focuses on some results about (p; q; t) Lth order and (p; q; t) Lth type of composite entire and meromorphic functions on the basis of their integer translation. This monograph will be very helpful for postgraduates, researchers, and faculty members interested in value distribution theorems in complex mathematical analysis.