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題名 有限秩之半純函數之唯一性
On the Unicity of Meromorphic Functions of Finite Order作者 李懿雲 貢獻者 陳天進
李懿雲關鍵詞 半存函數 日期 2007 上傳時間 6-五月-2016 16:43:50 (UTC+8) 摘要 在這篇論文中，我們利用值分布的理論探討有理函數、純函數與半純函數共值的問題及唯一性。同時，我們詳細證明某些已知的結果，並且得到一些性質。
In this thesis, we study the the unicity of rational, entire and meromorphic functions which share common values. Also, we provide more detail proofs of some known results in the literature and obtain some further properties in these aspects.
謝辭 i Abstract ii 中文摘要 iii 1 Introduction 1 2 Basic Nevanlinna Theory 3 3 Unicity of rational Functions 9 4 Unicity of Entire Functions 14 5 Unicity of Meromorphic Functions 19 References 22參考文獻 [1] W. W. Adams and E. G. Straus, Non-Archimedian Analytic Functions taking the same values at the same points, Ill.J. Math. ,15(1971), 418-424. [2] F. Gross, Factorization of Meromorphic Functions, U.S. Government printing Office, Washington, D. C.(1972). [3] G. G. Gundersen, Meromorphic Functions that Share Three or Four Values, J. London Math. Soc. 20(1979), 457-466. [4] G. G. Gundersen, Meromorphic Functions that Share Three or Four Values, Trans. Amer. Math. Soc. 277(1983), 545-567. [5] W. K. Hayman, Meromorphic Functions, Oxford Mathematical Monographs, Clarendon Press, Oxford, 1964. [6] R. Nevanlinna, Le théoréme de Picard-Borel et la théorie deo functions méromorphes, Gauthies-Villar, Paris, 1929. [7] M.Ozawa, Unicity Theorems for Entire Functions, J. D’Anal. Math., 30(1976), 411-420. [8] G. Pólya, On an Integral Function of an Integral Function, J. London Math. Soc. 1(1926), 12. [9] C. C. Yang and H. X. Yi, Uniqueness Theory of Meromorphic Functions, Science Press (2003). [10] H. X. Yi, Unicity Theorems for Meromorphic Functions of finite lower order, J. Shandong Univ., 31(1996), NO.3, 241-247. 描述 碩士
國立政治大學
應用數學系
94972010資料來源 http://thesis.lib.nccu.edu.tw/record/#G0094972010 資料類型 thesis dc.contributor.advisor 陳天進 zh_TW dc.contributor.author (作者) 李懿雲 zh_TW dc.creator (作者) 李懿雲 zh_TW dc.date (日期) 2007 en_US dc.date.accessioned 6-五月-2016 16:43:50 (UTC+8) - dc.date.available 6-五月-2016 16:43:50 (UTC+8) - dc.date.issued (上傳時間) 6-五月-2016 16:43:50 (UTC+8) - dc.identifier (其他 識別碼) G0094972010 en_US dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/94485 - dc.description (描述) 碩士 zh_TW dc.description (描述) 國立政治大學 zh_TW dc.description (描述) 應用數學系 zh_TW dc.description (描述) 94972010 zh_TW dc.description.abstract (摘要) 在這篇論文中，我們利用值分布的理論探討有理函數、純函數與半純函數共值的問題及唯一性。同時，我們詳細證明某些已知的結果，並且得到一些性質。 zh_TW dc.description.abstract (摘要) In this thesis, we study the the unicity of rational, entire and meromorphic functions which share common values. Also, we provide more detail proofs of some known results in the literature and obtain some further properties in these aspects. en_US dc.description.abstract (摘要) 謝辭 i Abstract ii 中文摘要 iii 1 Introduction 1 2 Basic Nevanlinna Theory 3 3 Unicity of rational Functions 9 4 Unicity of Entire Functions 14 5 Unicity of Meromorphic Functions 19 References 22 - dc.description.tableofcontents 謝辭 i Abstract ii 中文摘要 iii 1 Introduction 1 2 Basic Nevanlinna Theory 3 3 Unicity of rational Functions 9 4 Unicity of Entire Functions 14 5 Unicity of Meromorphic Functions 19 References 22 zh_TW dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#G0094972010 en_US dc.subject (關鍵詞) 半存函數 zh_TW dc.title (題名) 有限秩之半純函數之唯一性 zh_TW dc.title (題名) On the Unicity of Meromorphic Functions of Finite Order en_US dc.type (資料類型) thesis en_US dc.relation.reference (參考文獻) [1] W. W. Adams and E. G. Straus, Non-Archimedian Analytic Functions taking the same values at the same points, Ill.J. Math. ,15(1971), 418-424. [2] F. Gross, Factorization of Meromorphic Functions, U.S. Government printing Office, Washington, D. C.(1972). [3] G. G. Gundersen, Meromorphic Functions that Share Three or Four Values, J. London Math. Soc. 20(1979), 457-466. [4] G. G. Gundersen, Meromorphic Functions that Share Three or Four Values, Trans. Amer. Math. Soc. 277(1983), 545-567. [5] W. K. Hayman, Meromorphic Functions, Oxford Mathematical Monographs, Clarendon Press, Oxford, 1964. [6] R. Nevanlinna, Le théoréme de Picard-Borel et la théorie deo functions méromorphes, Gauthies-Villar, Paris, 1929. [7] M.Ozawa, Unicity Theorems for Entire Functions, J. D’Anal. Math., 30(1976), 411-420. [8] G. Pólya, On an Integral Function of an Integral Function, J. London Math. Soc. 1(1926), 12. [9] C. C. Yang and H. X. Yi, Uniqueness Theory of Meromorphic Functions, Science Press (2003). [10] H. X. Yi, Unicity Theorems for Meromorphic Functions of finite lower order, J. Shandong Univ., 31(1996), NO.3, 241-247. zh_TW
