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Nevanlinna's counting functions for difference operators and related results | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 398، دوره 14، شماره 12، اسفند 2023، صفحه 359-371 اصل مقاله (390.79 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2023.27770.3706 | ||
| نویسندگان | ||
| Audrija Choudhury* 1؛ Rupa Pal2 | ||
| 1Department of Pure Mathematics, University of Calcutta, 35, Ballygunge Circular Rd, Ballygunge, Kolkata-700019, West Bengal, India | ||
| 2Department of Mathematics, Bethune College, 181, Bidhan Sarani, Manicktala, Azad Hind Bag, Kolkata-700006, West Bengal, India | ||
| تاریخ دریافت: 20 تیر 1401، تاریخ بازنگری: 25 اسفند 1401، تاریخ پذیرش: 03 فروردین 1402 | ||
| چکیده | ||
| 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. | ||
| کلیدواژه‌ها | ||
| Meromorphic functions؛ c-separated pairs؛ Nevanlinna's counting functions؛ difference operator؛ periodic functions | ||
| مراجع | ||
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