Exceptional values of algebroid functions on annuli

2020 ◽  
Author(s):  
Ashok Rathod
Keyword(s):  
Algebroid Functions

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.

scholarly journals On Integral Algebroid Functions

1935 ◽  
Vol 12 (0) ◽  
pp. 129-132
Author(s):  
K. P. LEE
Keyword(s):  
Algebroid Functions

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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