Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 0841.30027
Yi, Hong-Xun
Meromorphic functions that share one or two values. (English)
[J] Complex Variables, Theory Appl. 28, No.1, 1-11 (1995). ISSN 0278-1077; ISSN 1563-5066/e

In this paper, the author continues his researches on the relationships of two nonconstant meromorphic functions $f,g$ that share one or two values $CM$. It is shown that if $f$ and $g$ share $ICM$ satisfying the condition: $$\lim_{r \in I} \sup N_2 (r, 1/f) + N_2 (1,f) + N_2 (r, 1/g) + N_2 (r, g)/T(r) < 1,$$ where $T(r) = \max \{T(r, f), T(r, g)\}$ and $I$ is a set of $r$ values of infinite linear measure, then $f \equiv g$ or $fg \equiv 1$. With slight variation of the above condition, the same conclusions hold when $f$ and $g$ share $1, \infty \subset M$.
[C.-C.Yang (Kowloon)]

MSC 2000:: *30D35 Distribution of values (one complex variable)

Keywords: Möbius transformation; lacunary; share value

Cited in: Zbl 1057.30027 Zbl 0939.30020 Zbl 0919.30024

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]