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https://ah.lib.nccu.edu.tw/handle/140.119/68416
題名: | Working with Tropical Meromorphic Functions of One Variable | 作者: | 蔡炎龍 Tsai,Yen-lung |
貢獻者: | 應數系 | 日期: | 2012 | 上傳時間: | 7-八月-2014 | 摘要: | In this paper, we survey and study definitions and properties of tropical polynomials, tropical rational functions and in general, tropical meromorphic functions, emphasizing practical techniques that can really carry out computations. For instance, we introduce maximally represented tropical polynomials and tropical polynomials in compact forms to quickly find roots of given tropical polynomials. We also prove the existence and uniqueness of tropical theorems for meromorphic functions with prescribed roots and poles. Moreover, we explain the relations between classical and tropical meromorphic functions. Different definitions and applications of tropical meromorphic functions are discussed. Finally, we point out the properties of tropical meromorphic functions are very similar to complex ones and prove some tropical analogues of theorems in complex analysis. | 關聯: | Taiwanese Journal of Mathematics,16(2),691-712 | 資料類型: | article |
Appears in Collections: | 期刊論文 |
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File | Description | Size | Format | |
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691-712.pdf | 1.35 MB | Adobe PDF2 | View/Open |
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