Download or read book Meromorphic Functions with Small Characteristic and No Asymptotic Values written by Gerald R. MacLane and published by . This book was released on 1961 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: By the results of Fatou and Nevalinna any function F(z), meromorphic in |z|

Download or read book The Theory of Cluster Sets written by E. F. Collingwood and published by Cambridge University Press. This book was released on 2004-06-03 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to the theory of cluster sets, a branch of topological analysis.

Download or read book Value Distribution Theory written by L. Sario and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this research monograph is to build up a modern value distribution theory for complex analytic mappings between abstract Riemann surfaces. All results presented herein are new in that, apart from the classical background material in the last chapter, there is no over lapping with any existing monograph on merom orphic functions. Broadly speaking the division of the book is as follows: The Introduction and Chapters I to III deal mainly with the theory of mappings of arbitrary Riemann surfaces as developed by the first named author; Chapter IV, due to Nakai, is devoted to meromorphic functions on parabolic surfaces; Chapter V contains Matsumoto's results on Picard sets; 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. For a complete list of writers whose results have been discussed we refer to the Author Index.

Download or read book Value Distribution of Meromorphic Functions written by Anatoliĭ Asirovich Golʹdberg and published by American Mathematical Soc.. This book was released on 2008 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.

Download or read book On the Geometry of Functions Holomorphic in the Unit Circle of Arbitrarily Slow Growth which Tend to Infinity on a Sequence of Curves Approaching the Circumference written by Gerald R. MacLane and published by . This book was released on 1961 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt: IT IS WELL KNOWN THAT THERE EXIST FUNCTIONS H(), holomorphic in 1, with H() () where (r) is a given positive function which as r 1, and such that min rn H() approaches as n . Here rn 1 is an appropriately chosen sequence. Such functions may be constructed by the use of gap series or via an infinite product. The object of the present note is to construct such a function geometrically by starting with the Riemann surface onto which w = H()maps 1. The essence of the argument is in showing that is hyperbolic and that M(r) (r); these results are obtained via Caratheodory's theory of kernels. (Author).

Download or read book Asymptotic Values of Holomorphic Functions written by Gerald R. MacLane and published by . This book was released on 1963 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Technical Abstract Bulletin written by Defense Documentation Center (U.S.) and published by . This book was released on 1961-04 with total page 1746 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Michigan Mathematical Journal written by and published by . This book was released on 1963 with total page 880 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Asymptotic Characteristics of Entire Functions and Their Applications in Mathematics and Biophysics written by L.S. Maergoiz and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: This revised and enlarged second edition is devoted to asymptotical questions of the theory of entire and plurisubharmonic functions. A separate chapter deals with applications in biophysics. The book is of interest to research specialists in theoretical and applied mathematics, postgraduates and students who are interested in complex and real analysis and its applications.

Download or read book Analysis of One Complex Variable written by American Mathematical Society. Summer Meeting and published by . This book was released on 1987 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Value Distribution of Meromorphic Functions written by Jianhua Zheng and published by Springer Science & Business Media. This book was released on 2011-03-31 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.

Download or read book Nevanlinna s Theory of Value Distribution written by William Cherry and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph serves as a self-contained introduction to Nevanlinna's theory of value distribution as well as a valuable reference for research specialists. Authors present, for the first time in book form, the most modern and refined versions of the Second Main Theorem with precise error terms, in both the geometric and logarithmic derivative based approaches. A unique feature of the monograph is its number theoretic digressions These special sections assume no background in number theory and explore the exciting interconnections between Nevanlinna theory and the theory of Diophantine approximation.

Download or read book Complex Analysis I written by A.A. Gonchar and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).

Download or read book A Study of a Class of Functions Holomorphic in the Unit Disk written by Philip J. Pratt and published by . This book was released on 1971 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Cambridge Tracts in Mathematics and Mathematical Physics written by Edward Foyle Collingwood and published by . This book was released on 1966 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Bibliography of Scientific and Industrial Reports written by and published by . This book was released on 1968 with total page 822 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book U S Government Research Reports written by and published by . This book was released on 1961 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: