%0 Journal Article
%T Nevanlinna's counting functions for difference operators and related results
%J International Journal of Nonlinear Analysis and Applications
%I Semnan University
%Z 2008-6822
%A Choudhury, Audrija
%A Pal, Rupa
%D 2023
%\ 12/01/2023
%V 14
%N 12
%P 359-371
%! Nevanlinna's counting functions for difference operators and related results
%K meromorphic functions
%K c-separated pairs
%K Nevanlinna's counting functions
%K difference operator
%K periodic functions
%R 10.22075/ijnaa.2023.27770.3706
%X The study of the Nevanlinna theory for difference operators was introduced independently by Halburd & Korhonen and Chiang & Feng in the years 2006 and 2008 respectively. Halburd and Korhonen proved the uniqueness theorem for meromorphic functions associated with c-separated pairs. In this paper, we have generalised the result by introducing c-separated pairs of multiplicity p and their counting functions. We have deduced some analogues of certain unique results of classical Nevanlinna theory due to Chen, Chen & Tsai; Gopalakrishna & Bhoosnurmath; and Lahiri & Pal. Thereafter, we have also discussed certain implications of the deduced results.
%U https://ijnaa.semnan.ac.ir/article_7690_943000d79dc9184d2ab8e7c494659fb4.pdf