| Title:
|
Generalization of uniqueness and value sharing of meromorphic functions concerning differential polynomials (English) |
| Author:
|
Waghamore, Harina P. |
| Author:
|
Maligi, Ramya |
| Language:
|
English |
| Journal:
|
Communications in Mathematics |
| ISSN:
|
1804-1388 (print) |
| ISSN:
|
2336-1298 (online) |
| Volume:
|
28 |
| Issue:
|
3 |
| Year:
|
2020 |
| Pages:
|
289-299 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The motivation of this paper is to study the uniqueness problems of meromorphic functions concerning differential polynomials that share a small function. The results of the paper improve and generalize the recent results due to Fengrong Zhang and Linlin Wu [13]. We also solve an open problem as posed in the last section of [13]. (English) |
| Keyword:
|
Uniqueness,Meromorphic functions |
| Keyword:
|
Sharing value |
| Keyword:
|
Differential polynomials. |
| MSC:
|
30D35 |
| idZBL:
|
Zbl 1477.30031 |
| idMR:
|
MR4197080 |
| . |
| Date available:
|
2021-03-03T08:59:33Z |
| Last updated:
|
2022-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/148709 |
| . |
| Reference:
|
[1] Banerjee, A.: Meromorphic functions sharing one value.Int. J. Math. Math. Sci., 22, 2005, 3587-3598, Zbl 1093.30024, MR 2205158, 10.1155/IJMMS.2005.3587 |
| Reference:
|
[2] Banerjee, A.: On uniqueness for nonlinear differential polynomials sharing the same 1-point.Ann. Polon. Math., 89, 3, 2006, 259-272, Zbl 1104.30018, MR 2262553, 10.4064/ap89-3-3 |
| Reference:
|
[3] Dyavanal, R.S.: Uniqueness and value-sharing of differential polynomials of meromorphic functions.J. Math. Anal. Appl., 374, 1, 2011, 335-345, corrected republication of MR2672524. MR 2726211 |
| Reference:
|
[4] Fang, C.Y., Fang, M.L.: Uniqueness of meromorphic functions and differential polynomials.Comput. Math. Appl., 44, 5--6, 2002, 607-617, Zbl 1035.30018, MR 1925805 |
| Reference:
|
[5] Fang, M.L., Hong, W.: A unicity theorem for entire functions concerning differential polynomials.Indian J. Pure Appl. Math., 32, 9, 2001, 1343-1348, Zbl 1005.30023, MR 1875450 |
| Reference:
|
[6] Hayman, W.K.: Meromorphic functions.1964, Oxford Mathematical Monographs Clarendon Press, Zbl 0115.06203, MR 0164038 |
| Reference:
|
[7] Lahiri, I.: Uniqueness of meromorphic functions when two linear differential polynomials share the same 1-points.Ann. Polon. Math., 71, 2, 1999, 113-128, Zbl 0938.30022, MR 1703886, 10.4064/ap-71-2-113-128 |
| Reference:
|
[8] Lahiri, I.: Linear differential polynomials sharing the same 1-points with weight two.Ann. Polon. Math., 79, 2, 2002, 157-170, MR 1957890, 10.4064/ap79-2-6 |
| Reference:
|
[9] Lahiri, I., Sahoo, P.: Uniqueness of meromorphic functions when two non-linear differential polynomials share a small function.Arch. Math., 44, 3, 2008, 201-210, MR 2462975 |
| Reference:
|
[10] Lin, W.Ch., Yi, H.X.: Uniqueness theorems for meromorphic function.Indian J. Pure Appl. Math., 35, 2, 2004, 121-132, Zbl 1056.30031, MR 2040726 |
| Reference:
|
[11] Yang, Ch.Ch., Hua, X.: Uniqueness and value-sharing of meromorphic functions.Ann. Acad. Sci. Fenn. Math., 22, 2, 1997, 395-406, Zbl 0890.30019, MR 1469799 |
| Reference:
|
[12] Yi, H.X.: Meromorphic functions that share one or two values.Complex Variables Theory Appl., 28, 1, 1995, 1-11, Zbl 0841.30027, MR 1700258, 10.1080/17476939508814833 |
| Reference:
|
[13] Zhang, F., Wu, L.: Notes on the uniqueness of meromorphic functions concerning differential polynomials.J. Inequal. Appl, 2019, 2019, 1-14, MR 3923700 |
| Reference:
|
[14] Zhang, Q.: Meromorphic function that shares one small function with its derivative.JIPAM. J. Inequal. Pure Appl. Math., 6, 4, 2005, 13 pp, Zbl 1097.30033, MR 2178297 |
| . |
