Value Distribution and Uniqueness of Certain Higher Order q-difference Polynomials

2021 ◽  
Vol 88 (1-2) ◽  
pp. 72
Author(s):  
Renukadevi S. Dyavanal ◽  
Jyoti B. Muttagi
Keyword(s):  
Nevanlinna Theory ◽  
Higher Order ◽  
Value Distribution ◽  
Difference Polynomials

In this paper, by using Nevanlinna theory we investigate cer- tain types of higher order q-di erence polynomials and prove the results on value distribution and uniqueness.

Some results for complex partial q-difference equations in ℂ n \mathbb{C}^{n}

2019 ◽  
Vol 26 (3) ◽  
pp. 471-481
Author(s):  
Yue Wang
Keyword(s):  
Difference Equations ◽  
Nevanlinna Theory ◽  
Meromorphic Functions ◽  
Zero Order ◽  
Value Distribution ◽  
Meromorphic Solutions ◽  
Difference Polynomials

Abstract Using the Nevanlinna theory of the value distribution of meromorphic functions, the value distribution of complex partial q-difference polynomials of meromorphic functions of zero order is investigated. The existence of meromorphic solutions of some types of systems of complex partial q-difference equations in {\mathbb{C}^{n}} is also investigated. Improvements and extensions of some results in the literature are presented. Some examples show that our results are, in a certain sense, the best possible.

scholarly journals A NOTE ON VALUE DISTRIBUTION OF DIFFERENCE POLYNOMIALS

2010 ◽  
Vol 81 (3) ◽  
pp. 353-360 ◽  
Author(s):  
K. LIU ◽  
I. LAINE
Keyword(s):  
Value Distribution ◽  
Difference Polynomials ◽  
Brück Conjecture

AbstractIn this paper, we investigate the value distribution of difference polynomials and prove some difference analogues of results of Hayman and the Brück conjecture.

scholarly journals On Value Distribution of Difference Polynomials of Meromorphic Functions

2011 ◽  
Vol 2011 ◽  
pp. 1-9 ◽  
Author(s):  
Zong-Xuan Chen
Keyword(s):  
Meromorphic Functions ◽  
Value Distribution ◽  
Difference Analogue ◽  
Difference Polynomials ◽  
The Difference

We study the value distribution of the difference counterpartΔf(z)−af(z)noff′(z)−af(z)nand obtain an almost direct difference analogue of results of Hayman.

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