Unicity result sharing one small function with the general differential-difference polynomial

2020 ◽  
Author(s):  
Harina P. Waghamore ◽  
Vijaylaxmi S. B.
Keyword(s):  
Small Function ◽  
Difference Polynomial

scholarly journals On the Uniqueness of Certain Type of Shift Polynomial Sharing a Small Function

2017 ◽  
Vol 55 (1) ◽  
pp. 99-113
Author(s):  
Sujoy Majumder
Keyword(s):  
Small Function ◽  
Difference Polynomial

AbstractThe purpose of the paper is to study the uniqueness problems of certain type of difference polynomial sharing a small function. We point out and rectify some gaps in the proof of the main results in [8]. In addition to this we obtain our main result as a corrected and generalized version of [8] in a more compact way which in turn improve a number of earlier results.

scholarly journals Entire functions that share a small function with their linear difference polynomial

2021 ◽  
Vol 7 (3) ◽  
pp. 3731-3744
Author(s):  
Minghui Zhange ◽  
◽  
Jianbin Xiao ◽  
Mingliang Fang
Keyword(s):  
Entire Function ◽  
Entire Functions ◽  
Small Function ◽  
Difference Polynomial ◽  
Function Sharing

<abstract><p>In this paper, we investigate the uniqueness of an entire function sharing a small function with its linear difference polynomial. Our results improve some results due to Li and Yi <sup>[<xref ref-type="bibr" rid="b11">11</xref>]</sup>, Zhang, Chen and Huang <sup>[<xref ref-type="bibr" rid="b17">17</xref>]</sup>, Zhang, Kang and Liao <sup>[<xref ref-type="bibr" rid="b18">18</xref>,<xref ref-type="bibr" rid="b19">19</xref>]</sup> etc.</p></abstract>

On the Uniqueness of Certain Type of Difference Polynomial Sharing a Small Function

2018 ◽  
Vol 85 (1-2) ◽  
pp. 170
Author(s):  
Sujoy Majumder ◽  
Somnath Saha
Keyword(s):  
Small Function ◽  
Difference Polynomial

The purpose of this paper is to study the uniqueness problems of certain type of difference polynomial sharing a small function. In this paper, we not only point out some gaps in the proof of the main results in [14], but also rectify the errors and present our main results in a more compact way. Also we exhibit two examples to show that one of the conditions of our result is the best possible.

scholarly journals On Properties of Differences Polynomials about Meromorphic Functions

2012 ◽  
Vol 2012 ◽  
pp. 1-11
Author(s):  
Jianming Qi ◽  
Jie Ding ◽  
Wenjun Yuan
Keyword(s):  
Meromorphic Function ◽  
Finite Order ◽  
Special Class ◽  
Meromorphic Functions ◽  
Value Distribution ◽  
Class Difference ◽  
Difference Polynomial

We study the value distribution of a special class difference polynomial about finite order meromorphic function. Our methods of the proof are also different from ones in the previous results by Chen (2011), Liu and Laine (2010), and Liu and Yang (2009).

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