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Author | : E. F. Collingwood |
Publisher | : Cambridge University Press |
Total Pages | : 228 |
Release | : 2004-06-03 |
Genre | : Mathematics |
ISBN | : 9780521604819 |
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An introduction to the theory of cluster sets, a branch of topological analysis.
Author | : Edward F. Collingwood |
Publisher | : |
Total Pages | : 0 |
Release | : |
Genre | : |
ISBN | : 9780608309132 |
Download The Theory of Cluster Sets Book in PDF, ePub and Kindle
Author | : Kiyoshi Noshiro |
Publisher | : Springer Science & Business Media |
Total Pages | : 142 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3642859283 |
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For the first systematic investigations of the theory of cluster sets of analytic functions, we are indebted to IVERSEN [1-3J and GROSS [1-3J about forty years ago. Subsequent important contributions before 1940 were made by SEIDEL [1-2J, DOOE [1-4J, CARTWRIGHT [1-3J and BEURLING [1]. The investigations of SEIDEL and BEURLING gave great impetus and interest to Japanese mathematicians; beginning about 1940 some contributions were made to the theory by KUNUGUI [1-3J, IRIE [IJ, TOKI [IJ, TUMURA [1-2J, KAMETANI [1-4J, TsuJI [4J and NOSHIRO [1-4J. Recently, many noteworthy advances have been made by BAGEMIHL, SEIDEL, COLLINGWOOD, CARTWRIGHT, HERVE, LEHTO, LOHWATER, MEIER, OHTSUKA and many other mathematicians. The main purpose of this small book is to give a systematic account on the theory of cluster sets. Chapter I is devoted to some definitions and preliminary discussions. In Chapter II, we treat extensions of classical results on cluster sets to the case of single-valued analytic functions in a general plane domain whose boundary contains a compact set of essential singularities of capacity zero; it is well-known that HALLSTROM [2J and TsuJI [7J extended independently Nevanlinna's theory of meromorphic functions to the case of a compact set of essential singUlarities of logarithmic capacity zero. Here, Ahlfors' theory of covering surfaces plays a funda mental role. Chapter III "is concerned with functions meromorphic in the unit circle.
Author | : Sir Edward Foyle Collingwood |
Publisher | : |
Total Pages | : |
Release | : |
Genre | : Cluster set theory |
ISBN | : |
Download The theory of cluster sets, by E.F. Collingwood and A.J. Lohwater Book in PDF, ePub and Kindle
Author | : Ruth Ann Su |
Publisher | : |
Total Pages | : 340 |
Release | : 1974 |
Genre | : Cluster set theory |
ISBN | : |
Download The Theory of Cluster Sets Book in PDF, ePub and Kindle
Author | : K. Noshiro |
Publisher | : |
Total Pages | : 356 |
Release | : 1958 |
Genre | : |
ISBN | : |
Download On the Theory of Cluster Sets of Analytic Functions Book in PDF, ePub and Kindle
Author | : William Blauvelet Woolf |
Publisher | : |
Total Pages | : 40 |
Release | : 1959 |
Genre | : Functions, Meromorphic |
ISBN | : |
Download Radial Cluster Sets and the Distribution of Values of Meromorphic Functions Book in PDF, ePub and Kindle
Author | : David Arne Storvick |
Publisher | : |
Total Pages | : 32 |
Release | : 1961 |
Genre | : Conformal mapping |
ISBN | : |
Download Cluster Sets of Pseudo-meromorphic Functions Book in PDF, ePub and Kindle
Author | : Nihon Sūgakkai |
Publisher | : MIT Press |
Total Pages | : 1180 |
Release | : 1993 |
Genre | : Mathematics |
ISBN | : 9780262590204 |
Download Encyclopedic Dictionary of Mathematics Book in PDF, ePub and Kindle
V.1. A.N. v.2. O.Z. Apendices and indexes.
Author | : M. Hazewinkel |
Publisher | : Springer |
Total Pages | : 927 |
Release | : 2013-12-01 |
Genre | : Mathematics |
ISBN | : 1489937978 |
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