Nevanlinna's counting functions for difference operators and related results
Author(s):
Article Type:
Research/Original Article (دارای رتبه معتبر)
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:
Language:
English
Published:
International Journal Of Nonlinear Analysis And Applications, Volume:14 Issue: 12, Dec 2023
Pages:
359 to 371
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