Value Distribution of Meromorphic Functions - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Value Distribution of Meromorphic Functions write by Jianhua Zheng. This book was released on 2011-03-31. Value Distribution of Meromorphic Functions available in PDF, EPUB and Kindle. "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 directions, new results on estimates of the number of deficient values, new results on singular values and behaviours of subharmonic functions which are the foundation for further discussion on the proof of the Nevanlinna conjecture. The independent significance of normality of subharmonic function family is emphasized. This book is designed for scientists, engineers and post graduated students engaged in Complex Analysis and Meromorphic Functions. Dr. Jianhua Zheng is a Professor at the Department of Mathematical Sciences, Tsinghua University, China.
Value Distribution of Meromorphic Functions
Value Distribution of Meromorphic Functions - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Value Distribution of Meromorphic Functions write by Anatoliĭ Asirovich Golʹdberg. This book was released on 2008. Value Distribution of Meromorphic Functions available in PDF, EPUB and Kindle. "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." "The main body of the book is a translation of the Russian original published in 1970, which has been one of the most popular sources in this field since then. New references and footnotes related to recent achievements in the topics considered in the original edition have been added and a few corrections made. A new Appendix with a survey of the results obtained after 1970 and extensive bibliography has been written by Alexandre Ermenko and James K. Langley for this English edition." "The only prerequisite for understanding material of this book is an undergraduate course in the theory of functions of one complex variable."--BOOK JACKET.
Entire and Meromorphic Functions
Entire and Meromorphic Functions - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Entire and Meromorphic Functions write by Lee A. Rubel. This book was released on 2012-12-06. Entire and Meromorphic Functions available in PDF, EPUB and Kindle. 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.
Meromorphic Functions over non-Archimedean Fields
Meromorphic Functions over non-Archimedean Fields - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Meromorphic Functions over non-Archimedean Fields write by Pei-Chu Hu. This book was released on 2000-09-30. Meromorphic Functions over non-Archimedean Fields available in PDF, EPUB and Kindle. This book introduces value distribution theory over non-Archimedean fields, starting with a survey of two Nevanlinna-type main theorems and defect relations for meromorphic functions and holomorphic curves. Secondly, it gives applications of the above theory to, e.g., abc-conjecture, Waring's problem, uniqueness theorems for meromorphic functions, and Malmquist-type theorems for differential equations over non-Archimedean fields. Next, iteration theory of rational and entire functions over non-Archimedean fields and Schmidt's subspace theorems are studied. Finally, the book suggests some new problems for further research. Audience: This work will be of interest to graduate students working in complex or diophantine approximation as well as to researchers involved in the fields of analysis, complex function theory of one or several variables, and analytic spaces.
Value Distribution of Meromorphic Functions
Value Distribution of Meromorphic Functions - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Value Distribution of Meromorphic Functions write by Anatoliĭ Asirovich Golʹdberg. This book was released on . Value Distribution of Meromorphic Functions available in PDF, EPUB and Kindle. "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." "The main body of the book is a translation of the Russian original published in 1970, which has been one of the most popular sources in this field since then. New references and footnotes related to recent achievements in the topics considered in the original edition have been added and a few corrections made. A new Appendix with a survey of the results obtained after 1970 and extensive bibliography has been written by Alexandre Ermenko and James K. Langley for this English edition." "The only prerequisite for understanding material of this book is an undergraduate course in the theory of functions of one complex variable."--BOOK JACKET.
