On the value distribution of f + a(f') n

Mingliang Fang; Lawrence Zalcman

doi:10.1007/s11425-008-0022-2

On the value distribution of f + a(f') ⁿ

Mingliang Fang, Lawrence Zalcman

Department of Mathematics

South China Agricultural University

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

Let f be a transcendental meromorphic function, a a nonzero finite complex number, and n ≥ 2 a positive integer. Then f + a(f') ⁿ assumes every complex value infinitely often. This answers a question of Ye for n = 2. A related normality criterion is also given.

Original language	English
Pages (from-to)	1196-1202
Number of pages	7
Journal	Science in China, Series A: Mathematics
Volume	51
Issue number	7
DOIs	https://doi.org/10.1007/s11425-008-0022-2
State	Published - Jul 2008

Bibliographical note

Funding Information:
Received April 17, 2007; accepted September 24, 2007; published online April 8, 2008 DOI: 10.1007/s11425-008-0022-2 † Corresponding author This work was supported by the National Natural Science Foundation of China (Grant No. 10771076), the Natural Science Foundation of Guangdong Province, China (Grant No. 07006700) and by the German-Israeli Foundation for Scientific Research and Development (Grant No. G-809-234.6/2003)

Funding

Received April 17, 2007; accepted September 24, 2007; published online April 8, 2008 DOI: 10.1007/s11425-008-0022-2 † Corresponding author This work was supported by the National Natural Science Foundation of China (Grant No. 10771076), the Natural Science Foundation of Guangdong Province, China (Grant No. 07006700) and by the German-Israeli Foundation for Scientific Research and Development (Grant No. G-809-234.6/2003)

Funders	Funder number
German-Israeli Foundation for Scientific Research and Development	G-809-234.6/2003
National Natural Science Foundation of China	10771076
Natural Science Foundation of Guangdong Province	07006700

Keywords

Meromorphic function
Normal families
Value distribution

Access to Document

10.1007/s11425-008-0022-2

Cite this

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keywords = "Meromorphic function, Normal families, Value distribution",

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