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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 2012.04
上傳時間 7-八月-2014 11:35:09 (UTC+8)
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
dc.contributor 應數系en_US
dc.creator (作者) 蔡炎龍zh_TW
dc.creator (作者) Tsai,Yen-lungen_US
dc.date (日期) 2012.04en_US
dc.date.accessioned 7-八月-2014 11:35:09 (UTC+8)-
dc.date.available 7-八月-2014 11:35:09 (UTC+8)-
dc.date.issued (上傳時間) 7-八月-2014 11:35:09 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/68416-
dc.description.abstract (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.en_US
dc.format.extent 1387037 bytes-
dc.format.mimetype application/pdf-
dc.language.iso en_US-
dc.relation (關聯) Taiwanese Journal of Mathematics,16(2),691-712en_US
dc.title (題名) Working with Tropical Meromorphic Functions of One Variableen_US
dc.type (資料類型) articleen