Year: 2009
Author: Xiaojing Wang
Communications in Mathematical Research , Vol. 25 (2009), Iss. 5 : pp. 472–478
Abstract
In this paper we discuss normal functions concerning shared values. We obtain the following result. Let $\mathcal{F}$ be a family of meromorphic functions in the unit disc ∆, and $a$ be a nonzero finite complex number. If for any $f ∈\mathcal{F}$, the zeros of $f$ are of multiplicity, $f$ and $f′$ share $a$, then there exists a positive number $M$ such that for any $f ∈ \mathcal{F}, (1 − |z|^2 ) \frac{|f′(z)|}{1 + |f(z)|^2} ≤ M$.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2009-CMR-19363
Communications in Mathematical Research , Vol. 25 (2009), Iss. 5 : pp. 472–478
Published online: 2009-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 7
Keywords: shared value normal family normal function.