Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 14 12 2023 12 01 Nevanlinna's counting functions for difference operators and related results 359 371 7690 10.22075/ijnaa.2023.27770.3706 EN Audrija Choudhury Department of Pure Mathematics, University of Calcutta, 35, Ballygunge Circular Rd, Ballygunge, Kolkata-700019, West Bengal, India Rupa Pal Department of Mathematics, Bethune College, 181, Bidhan Sarani, Manicktala, Azad Hind Bag, Kolkata-700006, West Bengal, India Journal Article 2022 07 11 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. https://ijnaa.semnan.ac.ir/article_7690_943000d79dc9184d2ab8e7c494659fb4.pdf