| Title:
|
Uniqueness of meromorphic functions when two non-linear differential polynomials share a small function (English) |
| Author:
|
Lahiri, Indrajit |
| Author:
|
Sahoo, Pulak |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
44 |
| Issue:
|
3 |
| Year:
|
2008 |
| Pages:
|
201-210 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In the paper we deal with the uniqueness of meromorphic functions when two non-linear differential polynomials generated by two meromorphic functions share a small function. (English) |
| Keyword:
|
non-linear differential polynomial |
| Keyword:
|
small function |
| Keyword:
|
uniqueness |
| MSC:
|
30D35 |
| idZBL:
|
Zbl 1212.30118 |
| idMR:
|
MR2462975 |
| . |
| Date available:
|
2009-01-29T09:14:54Z |
| Last updated:
|
2013-09-19 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119759 |
| . |
| Reference:
|
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| Reference:
|
[2] Banerjee, A.: On uniqueness for non-linear differential polynomials sharing the same $1$-point.Ann. Polon. Math. 89 (3) (2006), 259–272. MR 2262553, 10.4064/ap89-3-3 |
| Reference:
|
[3] Fang, C. Y., Fang, M. L.: Uniqueness of meromorphic functions and differential polynomials.Comput. Math. Appl. 44 (2002), 607–617. Zbl 1035.30018, MR 1925805, 10.1016/S0898-1221(02)00175-X |
| Reference:
|
[4] Fang, M. L., Hong, W.: A unicity theorem for entire functions concerning differential polynomials.Indian J. Pure Appl. Math. 32 (2001), 1343–1348. Zbl 1005.30023, MR 1875450 |
| Reference:
|
[5] Hayman, W. K.: Meromorphic Functions.The Clarendon Press, Oxford, 1964. Zbl 0115.06203, MR 0164038 |
| Reference:
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| Reference:
|
[7] Lahiri, I.: Weighted sharing and uniqueness of meromorphic functions.Nagoya Math. J. 161 (2001), 193–206. Zbl 0981.30023, MR 1820218 |
| Reference:
|
[8] 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:
|
[9] Lahiri, I.: Linear differential polynomials sharing the same $1$-points with weight two.Ann. Polon. Math. 79 (2002), 157–170. Zbl 1018.30026, MR 1957890, 10.4064/ap79-2-6 |
| Reference:
|
[10] Lahiri, I., Sarkar, A.: Non-linear differential polynomials sharing $1$-points with weight two.Chinese J. Contemp. Math. 25 (2004), 325–334. MR 2159311 |
| Reference:
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| Reference:
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[12] Mohonko, A. Z.: On the Nevanlinna characteristics of some meromorphic functions, The Theory of Functions, Functional Analysis and Their Applications.Izd. Kharkovsk. Univ. 14 (1971), 83–87. MR 0298006 |
| Reference:
|
[13] Yang, C. C.: On deficiencies of differential polynomials II.Math. Z. 125 (1972), 107–112. Zbl 0217.38402, MR 0294642 |
| Reference:
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| Reference:
|
[15] Yi, H. X.: Meromorphic functions that share one or two values.Complex Variables Theory Appl. 28 (1995), 1–11. Zbl 0841.30027, MR 1700258, 10.1080/17476939508814833 |
| . |
