| Title:
|
Weighted sharing and uniqueness of entire functions (English) |
| Author:
|
Wu, Fengqin |
| Author:
|
Xu, Yan |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
60 |
| Issue:
|
1 |
| Year:
|
2010 |
| Pages:
|
45-57 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper we study the uniqueness for meromorphic functions sharing one value, and obtain some results which improve and generalize the related results due to M. L. Fang, X. Y. Zhang, W. C. Lin, T. D. Zhang, W. R. Lü and others. (English) |
| Keyword:
|
entire function |
| Keyword:
|
weighted sharing |
| Keyword:
|
differential polynomial |
| Keyword:
|
uniqueness |
| MSC:
|
30D30 |
| MSC:
|
30D35 |
| idZBL:
|
Zbl 1224.30161 |
| idMR:
|
MR2595069 |
| . |
| Date available:
|
2010-07-20T16:12:42Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140548 |
| . |
| Reference:
|
[1] Fang, M.-L.: Uniqueness and value-sharing of entire functions.Comput. Math. Appl. 44 (2002), 823-831. Zbl 1035.30017, MR 1925824, 10.1016/S0898-1221(02)00194-3 |
| Reference:
|
[2] Fujimoto, H.: Uniqueness problem with truncated multiplicities in value distribution theory.Nagoya Math. J. 152 (1998), 131-152. Zbl 0937.32010, MR 1659377, 10.1017/S0027763000006826 |
| Reference:
|
[3] Hayman, W. K.: Meromorphic Functions.Clarendon Press Oxford (1964). Zbl 0115.06203, MR 0164038 |
| Reference:
|
[4] Lahiri, I.: Weighted value sharing and uniqueness of meromorphic functions.Complex Variables, Theory Appl. 46 (2001), 241-253. Zbl 1025.30027, MR 1869738, 10.1080/17476930108815411 |
| Reference:
|
[5] Lahiri, I.: Weighted sharing and uniqueness of meromorphic functions.Nagoya Math. J. 161 (2001), 193-206. Zbl 0981.30023, MR 1820218, 10.1017/S0027763000027215 |
| Reference:
|
[6] Yang, C.-C.: On deficiencies of differential polynomials.Math. Z. 152 (1972), 107-112. Zbl 0217.38402, MR 0294642, 10.1007/BF01110921 |
| Reference:
|
[7] Yang, L.: Value Distribution Theory.Springer-Science Press Berlin-Beijing (1993). Zbl 0790.30018, MR 1301781 |
| Reference:
|
[8] Yi, H.-X., Yang, C.-C.: Uniqueness Theory of Meromorphic Functions.Science Press Beijing (1995). |
| Reference:
|
[9] Zhang, T. D., Lü, W. R.: Uniqueness theorems on meromorphic functions sharing one value.Comput. Math. Appl. 55 (2008), 2981-2992. MR 2401445, 10.1016/j.camwa.2007.11.029 |
| Reference:
|
[10] Zhang, X.-Y., Lin, W.-C.: Uniqueness and value-sharing of entire functions.J. Math. Anal. Appl. 343 (2008), 938-950. Zbl 1152.30034, MR 2417114, 10.1016/j.jmaa.2008.02.011 |
| . |
