scholarly journals Generalised iteration of entire functions with finite iterated order

2015 ◽  
pp. 47-62
Author(s):  
Dibyendu Banerjee ◽  
Biswajit Mandal
Keyword(s):  
Entire Functions ◽  
Iterated Order

scholarly journals Composition of entire functions with finite iterated order

2009 ◽  
Vol 353 (1) ◽  
pp. 295-304
Author(s):  
Jin Tu ◽  
Zong-Xuan Chen ◽  
Xiu-Min Zheng
Keyword(s):  
Entire Functions ◽  
Iterated Order

scholarly journals Uniqueness on entire functions and their nth order exact differences with two shared values

2020 ◽  
Vol 18 (1) ◽  
pp. 211-215
Author(s):  
Shengjiang Chen ◽  
Aizhu Xu
Keyword(s):  
Entire Function ◽  
Entire Functions ◽  
Shared Values ◽  
Simple Method ◽  
Exact Difference ◽  
Hyper Order

Abstract Let f(z) be an entire function of hyper order strictly less than 1. We prove that if f(z) and its nth exact difference {\Delta }_{c}^{n}f(z) share 0 CM and 1 IM, then {\Delta }_{c}^{n}f(z)\equiv f(z) . Our result improves the related results of Zhang and Liao [Sci. China A, 2014] and Gao et al. [Anal. Math., 2019] by using a simple method.

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