The deficient values of a class of meromorphic functions

Title	The deficient values of a class of meromorphic functions
Creator	Chen, Ten Ging 陳天進 Tsai, Yen Lung 蔡炎龍 Chen, K.-Y
Contributor	應數系
Key Words	Deficient value; Meromorphic function; Nevanlinna deficiency; Picard exceptional value
Date	2010-01
Date Issued	29-Jun-2015 17:22:17 (UTC+8)
Summary	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.
Relation	Panamerican Mathematical Journal, 20(1), 59-70
Type	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 Lung	en_US
dc.creator (作者)	蔡炎龍	zh_TW
dc.creator (作者)	Chen, K.-Y	en_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)	article	en