Uniqueness of Differential Polynomials of Meromorphic Functions Sharing a Small Function Without Counting Multiplicity

2016 ◽  
Vol 57 (1) ◽  
pp. 121-135
Author(s):  
Bui Thi Kieu Oanh ◽  
Ngo Thi Thu Thuy
Keyword(s):  
Nevanlinna Theory ◽  
Complex Analysis ◽  
Meromorphic Functions ◽  
Small Function ◽  
Uniqueness Problem ◽  
Differential Polynomials ◽  
Counting Multiplicity

Abstract The paper concerns interesting problems related to the field of Complex Analysis, in particular Nevanlinna theory of meromorphic functions. The author have studied certain uniqueness problem on differential polynomials of meromorphic functions sharing a small function without counting multiplicity. The results of this paper are extension of some problems studied by K. Boussaf et. al. in [2] and generalization of some results of S.S. Bhoosnurmath et. al. in [4].

Uniqueness of meromorphic functions sharing a value or small function

2016 ◽  
Vol 66 (4) ◽  
Author(s):  
Nguyen Van Thin ◽  
Ha Tran Phuong
Keyword(s):  
Nevanlinna Theory ◽  
Complex Analysis ◽  
Meromorphic Functions ◽  
Small Function ◽  
Uniqueness Problem ◽  
Differential Polynomials ◽  
A Value

AbstractThe paper concerns interesting problems related to the field of Complex Analysis, in particular Nevanlinna theory of meromorphic functions. The author have studied certain uniqueness problem on differential polynomials of meromorphic functions sharing a value or small function. The results of this paper are generalizations of some problems studied in [BOUSSAF, K.—ESCASSUT, A.—OJEDA, J.:

scholarly journals Non-Linear Differential Polynomials Sharing Small Function with Finite Weight

2017 ◽  
Vol 58 (1) ◽  
pp. 57-75
Author(s):  
Waghamore P. Harina ◽  
S. Rajeshwari
Keyword(s):  
Meromorphic Functions ◽  
Small Function ◽  
Differential Polynomials ◽  
Non Linear ◽  
Linear Differential Polynomials ◽  
Linear Differential

AbstractThe purpose of the paper is to study the uniqueness of entire and meromorphic functions sharing a small function with finite weight. The results of the paper improve and extend some recent results due to Abhijit Banerjee and Pulak Sahoo [3].

scholarly journals A uniqueness problem for entire functions related to Brück’s conjecture

2018 ◽  
Vol 68 (4) ◽  
pp. 823-836
Author(s):  
Nguyen Van Thin ◽  
Ha Tran Phuong ◽  
Leuanglith Vilaisavanh
Keyword(s):  
Entire Function ◽  
Uniqueness Theorem ◽  
Nevanlinna Theory ◽  
Meromorphic Functions ◽  
Normal Family ◽  
Entire Functions ◽  
Uniqueness Problem ◽  
Family Theory

Abstract In this paper, we prove a normal criteria for family of meromorphic functions. As an application of that result, we establish a uniqueness theorem for entire function concerning a conjecture of R. Brück. The above uniqueness theorem is an improvement of a problem studied by L. Z. Yang et al. [14]. However, our method differs the method of L. Z. Yang et al. [14]. We mainly use normal family theory and combine it with Nevanlinna theory instead of using only the Nevanlinna theory as in [14].

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