scholarly journals The growth and singular direction of algebroid functions

2012 ◽  
Vol 37 ◽  
pp. 479-489 ◽  
Author(s):  
Songmin Wang
Keyword(s):  
Singular Direction ◽  
Algebroid Functions

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.

The Growth and Borel Points of Random Algebroid Functions in the Unit Disc

2021 ◽  
Vol 41 (4) ◽  
pp. 1119-1129
Author(s):  
Daochun Sun ◽  
Yingying Huo ◽  
Fujie Chai
Keyword(s):  
Unit Disc ◽  
Algebroid Functions

On the Nevanlinna direction of algebroid functions

2012 ◽  
Vol 32 (4) ◽  
pp. 1441-1448
Author(s):  
Zhang Hongshen ◽  
Sun Daochun
Keyword(s):  
Algebroid Functions

Borel Directions and the Uniqueness of Algebroid Functions Dealing with Multiple Values

2021 ◽  
Vol 58 (1) ◽  
pp. 104-118
Author(s):  
Yang Tan ◽  
Qingcai Zhang
Keyword(s):  
Conformal Mapping ◽  
Meromorphic Functions ◽  
Angular Domain ◽  
Uniqueness Results ◽  
Algebroid Functions

In this paper, we investigate the uniqueness of algebroid functions in angular domain by the method of conformal mapping. We discuss the relations between the Borel directions and uniquenss with the multiple values of algebroid functions and obtain some results which extend some uniqueness results of meromorphic functions to that of algebroid functions.

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.

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