NDLI: Picard values and normal families of meromorphic functions

Content Provider	Scilit
Author	Xu, Yan Wu, Fengqin Liao, Liangwen
Copyright Year	2009
Description	Let f be a transcendental meromorphic function on the complex plane ℂ, let a be a non-zero finite complex number and let n and k be two positive integers. In this paper, we prove that if n≥k+1, then $\smash{f+a(f^{(k)})^n}$ assumes each value b∈ℂ infinitely often. Also, the related normal criterion for families of meromorphic functions is given. Our results generalize the related results of Fang and Zalcman.
Related Links	https://www.cambridge.org/core/services/aop-cambridge-core/content/view/961A1F8389377A13292605847226D622/S0308210508000462a.pdf/div-class-title-picard-values-and-normal-families-of-meromorphic-functions-div.pdf
Ending Page	1099
Page Count	9
Starting Page	1091
ISSN	03082105
e-ISSN	14737124
DOI	10.1017/s0308210508000462
Journal	Proceedings of the Royal Society of Edinburgh: Section A Mathematics
Issue Number	5
Volume Number	139
Language	English
Publisher	Cambridge University Press (CUP)
Publisher Date	2009-10-01
Access Restriction	Open
Subject Keyword	Section A Mathematics Applied Mathematics Families of Meromorphic Functions
Content Type	Text
Resource Type	Article
Subject	Mathematics

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Picard values and normal families of meromorphic functions