| Title:
|
Meromorphic functions sharing two sets (English) |
| Author:
|
Banerjee, Abhijit |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
57 |
| Issue:
|
4 |
| Year:
|
2007 |
| Pages:
|
1199-1214 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In the paper we discuss the uniqueness problem for meromorphic functions that share two sets and prove five theorems which improve and supplement some results earlier given by Yi and Yang [13], Lahiri and Banerjee [5]. (English) |
| Keyword:
|
weighted sharing |
| Keyword:
|
shared set |
| Keyword:
|
meromorphic function |
| Keyword:
|
uniqueness |
| MSC:
|
30D35 |
| idZBL:
|
Zbl 1174.30040 |
| idMR:
|
MR2357586 |
| . |
| Date available:
|
2009-09-24T11:52:22Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128233 |
| . |
| Reference:
|
[1] W. K. Hayman: Meromorphic Functions.Clarendon Press, Oxford, 1964. Zbl 0115.06203, MR 0164038 |
| Reference:
|
[2] I. Lahiri: 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:
|
[3] I. Lahiri: Weighted sharing and uniqueness of meromorphic functions.Nagoya Math. J. 161 (2001), 193–206. Zbl 0981.30023, MR 1820218, 10.1017/S0027763000027215 |
| Reference:
|
[4] I. Lahiri: Value distribution of certain differential polynomials.Int. J. Math. Math. Sci. 28 (2001), 83–91. Zbl 0999.30023, MR 1885054, 10.1155/S0161171201011036 |
| Reference:
|
[5] I. Lahiri, A. Banerjee: Weighted sharing of two sets.Kyungpook Math. J. 46 (2006), 79–87. MR 2214802 |
| Reference:
|
[6] I. Lahiri, S. Dewan: Value distribution of the product of a meromorphic function and its derivative.Kodai Math. J. 26 (2003), 95–100. MR 1966685, 10.2996/kmj/1050496651 |
| Reference:
|
[7] G. D. Song, N. Li: On a problem of Gross concerning unicity of meromorphic functions.Chin. Ann. Math. 17 A (1996), 189–194. Zbl 0889.30028, MR 1397107 |
| Reference:
|
[8] C. C. Yang: On deficiencies of differential polynomials, II.Math. Z. 125 (1972), 107–112. Zbl 0217.38402, MR 0294642 |
| Reference:
|
[9] H. X. Yi: Unicity theorems for entire functions.Kodai Math. J. 17 (1994), 133–141. Zbl 0807.30017, MR 1262958, 10.2996/kmj/1138039903 |
| Reference:
|
[10] H. X. Yi: Meromorphic functions that share one or two values.Complex Variables, Theory Appl. 28 (1995), 1–11. Zbl 0841.30027, 10.1080/17476939508814833 |
| Reference:
|
[11] H. X. Yi: Uniqueness theorems for meromorphic functions II.Indian J. Pure Appl. Math. 28 (1997), 509–519. Zbl 0870.30024, MR 1448040 |
| Reference:
|
[12] H. X. Yi: Meromorphic functions that share three sets.Kodai Math. J. 20 (1997), 22–32. Zbl 0882.30019, MR 1443362, 10.2996/kmj/1138043717 |
| Reference:
|
[13] H. X. Yi, L. Z. Yang: Meromorphic functions that share two sets.Kodai Math. J. 20 (1997), 127–134. MR 1464633, 10.2996/kmj/1138043751 |
| Reference:
|
[14] H. X. Yi: Meromorphic functions that share one or two values II.Kodai Math. J. 22 (1999), 264–272. Zbl 0939.30020, MR 1700596, 10.2996/kmj/1138044046 |
| Reference:
|
[15] H. X. Yi, W. C. Lin: Some further results on meromorphic functions that share two sets.Kyungpook Math. J. 43 (2003), 73–85. MR 1961610 |
| Reference:
|
[16] H. X. Yi, Thamir C. Alzahary: Weighted value sharing and a question of I. Lahiri.Complex Variables, Theory Appl. 49 (2004), 1063–1078. MR 2111304, 10.1080/02781070410001701074 |
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