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Titlebook: Unicity of Meromorphic Mappings; Pei-Chu Hu,Ping Li,Chung-Chun Yang Book 2003 Springer-Verlag US 2003 Algebroid.Derivative.Heine–Borel the

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發(fā)表于 2025-3-21 16:21:11 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Unicity of Meromorphic Mappings
編輯Pei-Chu Hu,Ping Li,Chung-Chun Yang
視頻videohttp://file.papertrans.cn/943/942007/942007.mp4
叢書名稱Advances in Complex Analysis and Its Applications
圖書封面Titlebook: Unicity of Meromorphic Mappings;  Pei-Chu Hu,Ping Li,Chung-Chun Yang Book 2003 Springer-Verlag US 2003 Algebroid.Derivative.Heine–Borel the
描述For a given meromorphic function I(z) and an arbitrary value a, Nevanlinna‘s value distribution theory, which can be derived from the well known Poisson-Jensen for- mula, deals with relationships between the growth of the function and quantitative estimations of the roots of the equation: 1 (z) - a = O. In the 1920s as an application of the celebrated Nevanlinna‘s value distribution theory of meromorphic functions, R. Nevanlinna [188] himself proved that for two nonconstant meromorphic func- tions I, 9 and five distinctive values ai (i = 1,2,3,4,5) in the extended plane, if 1 1- (ai) = g-l(ai) 1M (ignoring multiplicities) for i = 1,2,3,4,5, then 1 = g. Fur- 1 thermore, if 1- (ai) = g-l(ai) CM (counting multiplicities) for i = 1,2,3 and 4, then 1 = L(g), where L denotes a suitable Mobius transformation. Then in the 19708, F. Gross and C. C. Yang started to study the similar but more general questions of two functions that share sets of values. For instance, they proved that if 1 and 9 are two nonconstant entire functions and 8 , 82 and 83 are three distinctive finite sets such 1 1 that 1- (8 ) = g-1(8 ) CM for i = 1,2,3, then 1 = g.
出版日期Book 2003
關(guān)鍵詞Algebroid; Derivative; Heine–Borel theorem; Meromorphic function; Nevanlinna theory; Wronskian; logarithm;
版次1
doihttps://doi.org/10.1007/978-1-4757-3775-2
isbn_softcover978-1-4419-5243-1
isbn_ebook978-1-4757-3775-2
copyrightSpringer-Verlag US 2003
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,Uniqueness of meromorphic functions on ?,ere have many papers been published on uniqueness theory and sharing values, and a comprehensive Chinese monograph [297] was appeared in 1995. In the present chapter, we introduce and summarize some of the more recent and relatively new results on value sharing and uniqueness theory on ?.
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more general questions of two functions that share sets of values. For instance, they proved that if 1 and 9 are two nonconstant entire functions and 8 , 82 and 83 are three distinctive finite sets such 1 1 that 1- (8 ) = g-1(8 ) CM for i = 1,2,3, then 1 = g.978-1-4419-5243-1978-1-4757-3775-2
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nd always, it seems, some power of organic expression in abeyance or reserve.’. The idea that the Subconscious Self might therefore be ‘a(chǎn)n intermediary between the Self and God’. offered a means of approaching, however tentatively, some of the problems encountered in interpreting religious experience.
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978-1-4419-5243-1Springer-Verlag US 2003
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