| 书目名称 | Cluster Sets | | 编辑 | Kiyoshi Noshiro | | 视频video | | | 丛书名称 | Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge | | 图书封面 |  | | 描述 | 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 t | | 出版日期 | Book 1960 | | 关键词 | Riemann surface; Sets; analytic function; function; logarithm; theorem | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-642-85928-1 | | isbn_softcover | 978-3-540-02516-0 | | isbn_ebook | 978-3-642-85928-1 | | copyright | Springer-Verlag Berlin Heidelberg 1960 |
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发表于 2025-3-21 16:20:59
