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題名 The deficient values of a class of meromorphic functions
作者 Chen, Ten Ging
陳天進
Tsai, Yen Lung
蔡炎龍
Chen, K.-Y
貢獻者 應數系
關鍵詞 Deficient value; Meromorphic function; Nevanlinna deficiency; Picard exceptional value
日期 2010-01
上傳時間 29-Jun-2015 17:22:17 (UTC+8)
摘要 In this paper, we study the deficient -values and the Nevanlinna deficiencies of meromorphic functions f(z) of the form f(z) -P(g(z)), where P(z) is a polynomial and g{z) is a meromorphic function with two Picard exceptional values. In fact, we prove that all deficient values of f(z) are of the form P(a), where o is a Picard exceptional value of g(z). Furthermore, if g(z) is of finite order, we compute explicitly the Nevanlinna deficiencies for f(z). We also give an upper bound estimation for the deficiencies of f(z) while g(z) is of infinite order.
關聯 Panamerican Mathematical Journal, 20(1), 59-70
資料類型 article
dc.contributor 應數系-
dc.contributor -
dc.creator (作者) Chen, Ten Ging-
dc.creator (作者) 陳天進zh_TW
dc.creator (作者) Tsai, Yen Lungen_US
dc.creator (作者) 蔡炎龍zh_TW
dc.creator (作者) Chen, K.-Yen_US
dc.date (日期) 2010-01-
dc.date.accessioned 29-Jun-2015 17:22:17 (UTC+8)-
dc.date.available 29-Jun-2015 17:22:17 (UTC+8)-
dc.date.issued (上傳時間) 29-Jun-2015 17:22:17 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/76106-
dc.description.abstract (摘要) In this paper, we study the deficient -values and the Nevanlinna deficiencies of meromorphic functions f(z) of the form f(z) -P(g(z)), where P(z) is a polynomial and g{z) is a meromorphic function with two Picard exceptional values. In fact, we prove that all deficient values of f(z) are of the form P(a), where o is a Picard exceptional value of g(z). Furthermore, if g(z) is of finite order, we compute explicitly the Nevanlinna deficiencies for f(z). We also give an upper bound estimation for the deficiencies of f(z) while g(z) is of infinite order.-
dc.format.extent 176 bytes-
dc.format.mimetype text/html-
dc.relation (關聯) Panamerican Mathematical Journal, 20(1), 59-70-
dc.subject (關鍵詞) Deficient value; Meromorphic function; Nevanlinna deficiency; Picard exceptional value-
dc.title (題名) The deficient values of a class of meromorphic functions-
dc.type (資料類型) articleen