Document Type : Research Paper

Authors

• Audrija Choudhury ¹
• Rupa Pal ²

¹ Department of Pure Mathematics, University of Calcutta, 35, Ballygunge Circular Rd, Ballygunge, Kolkata-700019, West Bengal, India

² Department of Mathematics, Bethune College, 181, Bidhan Sarani, Manicktala, Azad Hind Bag, Kolkata-700006, West Bengal, India

Abstract

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.

Keywords

• Meromorphic functions
• c-separated pairs
• Nevanlinna's counting functions
• difference operator
• periodic functions