scholarly journals On a new singular direction of algebroid functions

2007 ◽  
Vol 75 (3) ◽  
pp. 459-468 ◽  
Author(s):  
Songmin Wang ◽  
Zongsheng Gao
Keyword(s):  
Lower Order ◽  
Algebroid Function ◽  
Singular Direction ◽  
Algebroid Functions ◽  
Finite Lower Order

In this paper, we prove that for an algebroid function w (z) with finite lower order, satisfying , there exists a T direction dealing with multiple values.

scholarly journals Further results on the deficiencies of algebroid functions

1993 ◽  
Vol 47 (2) ◽  
pp. 341-346 ◽  
Author(s):  
Lianzhong Yang
Keyword(s):  
Lower Order ◽  
Algebroid Function ◽  
Algebroid Functions ◽  
Finite Lower Order

Let f(z) be an n-valued algebroid function of finite lower order μ. In this paper, we give some further results on the deficiencies of f(z). Particularly if 0 ≤ μ ≤ 1/2, the corresponding result is best possible.

scholarly journals Sums of deficiencies of algebroid functions

1990 ◽  
Vol 42 (2) ◽  
pp. 191-200 ◽  
Author(s):  
Lian-Zhong Yang
Keyword(s):  
Lower Order ◽  
Algebroid Function ◽  
Algebroid Functions ◽  
Finite Lower Order

Let f(z) be an n–Valued algebroid function of finite lower order. In the present paper, we give a spread relation of f(z) and some applications of the spread relation.

scholarly journals Value distribution of certain monomials of algebroid functions

1997 ◽  
Vol 62 (3) ◽  
pp. 398-404
Author(s):  
Kari Katajamäki
Keyword(s):  
Meromorphic Function ◽  
Value Distribution ◽  
Algebroid Function ◽  
Transcendental Meromorphic Function ◽  
Algebroid Functions

AbstractHayman has shown that if f is a transcendental meromorphic function and n ≽ 3, then fn f′ assumes all finite values except possibly zero infinitely often. We extend his result in three directions by considering an algebroid function ω, its monomial ωn0 ω′n1, and by estimating the growth of the number of α-points of the monomial.

scholarly journals ON T DIRECTION OF ALGEBROID FUNCTION DEALING WITH MULTIPLE VALUES

2008 ◽  
Vol 78 (1) ◽  
pp. 147-156 ◽  
Author(s):  
ZHAOJUN WU ◽  
DAOCHUN SUN
Keyword(s):  
Existence Theorem ◽  
Algebroid Function ◽  
Algebroid Functions

AbstractUsing Ahlfors’ theory of covering surfaces, we prove the existence theorem for the T direction for algebroid functions dealing with multiple values which extends the results proved by Guo, Zheng and Ng and answers a question by Wang, Giao and the present authors.

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