| Title:
|
Some applications of Nevanlinna theory to entire functions that share a small function with two difference operators (English) |
| Author:
|
Miloudi, Boudaoud |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
60 |
| Issue:
|
3 |
| Year:
|
2024 |
| Pages:
|
177-188 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this work, we are implementing some applications of Nevanlinna theory to entire functions that share a small function with two difference operators and we also generalize one of the results in the paper [3]. (English) |
| Keyword:
|
uniqueness |
| Keyword:
|
entire functions |
| Keyword:
|
difference operators |
| MSC:
|
30D35 |
| MSC:
|
39A45 |
| DOI:
|
10.5817/AM2024-3-177 |
| . |
| Date available:
|
2024-08-02T08:37:05Z |
| Last updated:
|
2024-08-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/152525 |
| . |
| Reference:
|
[1] Chen, B., Chen, Z.X., Li, S.: Uniqueness problems on entire functions and their difference operators or shifts.Abstr. Appl. Anal. 2012 (2012), 8 pp., Article ID 906893. MR 2926877, 10.1155/2012/906893 |
| Reference:
|
[2] Chen, B., Li, S.: Uniqueness theorems on entire functions that share small functions with their difference operators.Adv. Differential Equations 2014 (311) (2014), 11 pp. MR 3360566 |
| Reference:
|
[3] Farissi, A. El, Latreuch, Z., Asiri, A.: On the uniqueness theory of entire functions and their difference operators.Complex Anal. Oper. Theory 10 (6) (2016), 1317–1327. MR 3532314, 10.1007/s11785-015-0514-3 |
| Reference:
|
[4] Farissi, A. El, Latreuch, Z., Belaïdi, B., Asiri, A.: Entire functions that share a small function with their difference operators.Electron. J. Differential Equations 2016 (32) (2016), 13 pp. MR 3466503 |
| Reference:
|
[5] Halburd, R.G., Korhonen, R.J.: Nevanlinna theory for the difference operator.Ann. Acad. Sci. Fenn. Math. 31 (2006), 463–478. Zbl 1108.30022, MR 2248826 |
| Reference:
|
[6] Heittokangas, J., Korhonen, R., Laine, I., Rieppo, J.: Uniqueness of meromorphic functions sharing values with their shifts.Complex Var. Elliptic Equ. 56 (1–4) (2011), 81–92. MR 2774582, 10.1080/17476930903394770 |
| Reference:
|
[7] Heittokangas, J., Korhonen, R., Laine, I., Rieppo, J., Zhang, J.: Value sharing results for shifts of meromorphic functions, and sufficient conditions for periodicity.J. Math. Anal. Appl. 355 (2009), 352–363. MR 2514472, 10.1016/j.jmaa.2009.01.053 |
| Reference:
|
[8] Latreuch, Z., Farissi, A. El, Belaïdi, B.: Entire functions sharing small functions with their difference operators.Electron. J. Differential Equations 2015 (132) (2015), 10 pp. MR 3358504 |
| Reference:
|
[9] Li, S., Gao, Z.: Entire functions sharing one or two finite values CM with their shifts or difference operators.Arch. Math. (Basel) 97 (5) (2011), 475–483. MR 2860575, 10.1007/s00013-011-0324-4 |
| Reference:
|
[10] Yang, C.C., Yi, H.X.: Uniqueness Theory of Meromorphic Functions.Beijing: Science Press, 2006. |
| Reference:
|
[11] Zhang, J., Liao, L.: Entire functions sharing some values with their difference operators.Sci. China A 57 (10) (2014), 2143–2152. MR 3247539, 10.1007/s11425-014-4848-5 |
| . |
