scholarly journals Some uniqueness results on meromorphic functions sharing three sets

2007 ◽  
Vol 92 (3) ◽  
pp. 261-274 ◽  
Author(s):  
Abhijit Banerjee
Keyword(s):  
Meromorphic Functions ◽  
Uniqueness Results

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.

Sharing sets of q-difference of meromorphic functions

2014 ◽  
Vol 64 (1) ◽  
Author(s):  
Xiaoguang Qi ◽  
Lianzhong Yang
Keyword(s):  
Meromorphic Function ◽  
Meromorphic Functions ◽  
Zero Order ◽  
Partial Answer ◽  
Uniqueness Results

AbstractThis paper is devoted to proving some uniqueness results for meromorphic functions f(z) share sets with f(qz). We give a partial answer to a question of Gross concerning a zero-order meromorphic function f(z) and its q-difference f(qz).

scholarly journals Value Distribution and Uniqueness Results of Zero-Order Meromorphic Functions to Theirq-Shift

2012 ◽  
Vol 2012 ◽  
pp. 1-11
Author(s):  
Haiwa Guan ◽  
Gang Wang ◽  
Qiuqin Luo
Keyword(s):  
Entire Function ◽  
Meromorphic Function ◽  
Meromorphic Functions ◽  
Zero Order ◽  
Value Distribution ◽  
Nonzero Constant ◽  
Uniqueness Results ◽  
Difference Polynomial

We investigate value distribution and uniqueness problems of meromorphic functions with theirq-shift. We obtain that iffis a transcendental meromorphic (or entire) function of zero order, andQ(z)is a polynomial, thenafn(qz)+f(z)−Q(z)has infinitely many zeros, whereq∈ℂ∖{0},ais nonzero constant, andn≥5(orn≥3). We also obtain that zero-order meromorphic function share is three distinct values IM with itsq-difference polynomialP(f), and iflimsup r→∞(N(r,f)/T(r,f))<1, thenf≡P(f).

scholarly journals Equipolar meromorphic functions sharing a set

2021 ◽  
Vol 66 (3) ◽  
pp. 507-520
Author(s):  
Arindam Sarkar
Keyword(s):  
Meromorphic Functions ◽  
Uniqueness Results ◽  
Counting Multiplicity ◽  
Finite Set

"Two meromorphic functions f and g having the same set of poles are known as equipolar. In this paper we study some uniqueness results of equi-polar meromorphic functions sharing a finite set and improve some recent results of Bhoosnurmath-Dyavanal [4] and Banerjee-Mallick [3] by removing some unnec- essary conditions on rami cation indices as well as relaxing the condition on the nature of sharing of the value infinity by f and g from counting multiplicity to ignoring multiplicity."

Perceived uniqueness: Locus of control, social exclusion, and choice

2019 ◽  
Vol 47 (11) ◽  
pp. 1-7
Author(s):  
Shichang Liang ◽  
Yaping Chang ◽  
XueBing Dong ◽  
Jinshan Wang
Keyword(s):  
Locus Of Control ◽  
Social Exclusion ◽  
Undergraduate Students ◽  
Social Inclusion ◽  
Personal Control ◽  
Central China ◽  
External Locus ◽  
Internal Locus Of Control ◽  
Uniqueness Results ◽  
The Relationship

We examined the influence of locus of control on the relationship between social exclusion and preference for distinctive choices. Participants were 212 undergraduate students at a university in Central China, who completed measures of social exclusion, locus of control, choice, and perceived uniqueness. Results showed that participants who believed that the environment controlled their fate (external locus of control) preferred more distinctive choices in a social exclusion context than in a social inclusion context, whereas participants who believed that they could control the environment (internal locus of control) preferred less distinctive choices. Further, perceived uniqueness mediated the effect of social exclusion and locus of control on choice. These results add to the literature on social exclusion and personal control.

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