Uniqueness theorems for entire functions whose difference polynomials share a meromorphic function of a smaller order

2011 ◽  
Vol 102 (2) ◽  
pp. 111-127 ◽  
Author(s):  
Xiao-Min Li ◽  
Wen-Li Li ◽  
Hong-Xun Yi ◽  
Zhi-Tao Wen
Keyword(s):  
Meromorphic Function ◽  
Entire Functions ◽  
Uniqueness Theorems ◽  
Difference Polynomials

scholarly journals The Zeros of Difference Polynomials of Meromorphic Functions

2012 ◽  
Vol 2012 ◽  
pp. 1-13
Author(s):  
Junfeng Xu ◽  
Xiaobin Zhang
Keyword(s):  
Meromorphic Function ◽  
Meromorphic Functions ◽  
Differential Polynomials ◽  
Difference Polynomials

We investigate the value distributions of difference polynomialsΔf(z)-af(z)nandf(z)nf(z+c)which related to two well-known differential polynomials, wheref(z)is a meromorphic function.

scholarly journals Some Results on the Deficiencies of Some Differential-Difference Polynomials of Meromorphic Function

Mathematics ◽  
2018 ◽  
Vol 6 (10) ◽  
pp. 207
Author(s):  
Hong-Yan Xu ◽  
Xiu-Min Zheng ◽  
Hua Wang
Keyword(s):  
Meromorphic Function ◽  
Transcendental Meromorphic Function ◽  
Difference Polynomials ◽  
Nevanlinna Deficiency

For a transcendental meromorphic function f ( z ) , the main aim of this paper is to investigate the properties on the zeros and deficiencies of some differential-difference polynomials. Some results about the deficiencies of some differential-difference polynomials concerning Nevanlinna deficiency and Valiron deficiency are obtained, which are a generalization of and improvement on previous theorems given by Liu, Lan and Zheng, etc.

Uniqueness of difference polynomials of entire functions

2014 ◽  
Vol 8 ◽  
pp. 3419-3424
Author(s):  
Renukadevi S. Dyavanal ◽  
Rajalaxmi V. Desai
Keyword(s):  
Entire Functions ◽  
Difference Polynomials
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