@article{d334fefbec534b459ef30014c5db20c1,
title = "Differential inequalities, normality and quasi-normality",
abstract = "We prove that if D is a domain in ℂ, α > 1 and C > 0, then the family F of functions f meromorphic in D such that {pipe}f′(z)/1+{pipe}f(z){pipe}α > C for every z ∈ D is normal in D. For α = 1, the same assumptions imply quasi-normality but not necessarily normality.",
keywords = "Normal family, differential inequality, quasi-normal family",
author = "Liu, {Xiao Jun} and Shahar Nevo and Pang, {Xue Cheng}",
note = "Funding Information: Received September 10, 2012, revised December 19, 2012, accepted April 16, 2013 The first author is supported by National Natural Science Foundation of China (Grant No. 11071074), the Tianyuan Special Funds of the National Natural Science Foundation of China (Grant No. 11226095), Outstanding Youth Foundation of Shanghai (Grant No. slg10015); the second author is supported by the Israel Science Foundation (Grant No. 395/07); the third author is supported by National Natural Science Foundation of China (Grant No. 11071074)",
year = "2014",
month = feb,
doi = "10.1007/s10114-014-2542-8",
language = "الإنجليزيّة",
volume = "30",
pages = "277--282",
journal = "Acta Mathematica Sinica, English Series",
issn = "1439-8516",
publisher = "Springer Verlag",
number = "2",
}