| Title:
|
Meromorphic Function Sharinga Small Function with its Differential Polynomial (English) |
| Author:
|
Banerjee, Abhijit |
| Author:
|
AHAMED, Molla Basir |
| Language:
|
English |
| Journal:
|
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica |
| ISSN:
|
0231-9721 |
| Volume:
|
54 |
| Issue:
|
1 |
| Year:
|
2015 |
| Pages:
|
33-45 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper we improve, generalize and extend a number of recent results related to a problem of meromorphic function sharing a small function with its differential polynomial which are the continuation of a result earlier obtained by R. Brück. (English) |
| Keyword:
|
Meromorphic function |
| Keyword:
|
derivative |
| Keyword:
|
small function |
| Keyword:
|
weighted sharing |
| MSC:
|
30D35 |
| idZBL:
|
Zbl 1345.30031 |
| idMR:
|
MR3468599 |
| . |
| Date available:
|
2015-09-01T08:57:37Z |
| Last updated:
|
2018-01-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/144366 |
| . |
| Reference:
|
[1] Alzahary, T. C., Yi, H. X.: Weighted value sharing and a question of I. Lahiri. Complex Var. Theory Appl. 49, 15 (2004), 1063–1078. Zbl 1067.30055, MR 2111304, 10.1080/02781070410001701074 |
| Reference:
|
[2] 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:
|
[3] Brück, R.: On entire functions which share one value CM with their first derivative. Results in Math. 30 (1996), 21–24. MR 1402421, 10.1007/BF03322176 |
| Reference:
|
[4] T. Chuang, C.: On differential polynomials. In: Analysis Of One Complex Variable (Laramie, Wyo., 1985) World Sci. Publishing, Singapore, 1987, 12–32. Zbl 0643.30022, MR 0921876 |
| Reference:
|
[5] Doeringer, W.: Exceptional values of differential polynomials. Pacific J. Math. 98, 1 (1982), 55–62. Zbl 0445.30025, MR 0644937, 10.2140/pjm.1982.98.55 |
| Reference:
|
[6] Hayman, W. K.: Meromorphic Functions. The Clarendon Press, Oxford, 1964. Zbl 0115.06203, MR 0164038 |
| Reference:
|
[7] 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:
|
[8] Lahiri, I.: Weighted value sharing and uniqueness of meromorphic functions. Complex Var. Theory Appl. 46 (2001), 241–253. Zbl 1025.30027, MR 1869738, 10.1080/17476930108815411 |
| Reference:
|
[9] Lahiri, I., Banerjee, A.: Weighted sharing of two sets. Kyungpook Math. J. 46, 1 (2006), 79–87. Zbl 1103.30017, MR 2214802 |
| Reference:
|
[10] Lahiri, I., Dewan, S.: Value distribution of the product of a meromorphic function and its derivative. Kodai Math. J. 26, 1 (2003), 95–100. Zbl 1077.30025, MR 1966685, 10.2996/kmj/1050496651 |
| Reference:
|
[11] Lahiri, I., Sarkar, A.: Uniqueness of meromorphic function and its derivative. J. Inequal. Pure Appl. Math. 5, 1 (2004), Art. 20, 1–9. MR 2048496 |
| Reference:
|
[12] Liu, L.: Uniqueness of meromorphic functions that share one small function with their derivatives. J. Math. Sci.: Adv. Appl. 6, 2 (2010), 241–255. Zbl 1222.30020, MR 2816930 |
| Reference:
|
[13] Li, N., Yang, L. Z.: Meromorphic function that shares one small function with its differential polynomial. Kyungpook Math. J. 50 (2010), 447–454. Zbl 1206.30045, MR 2737330, 10.5666/KMJ.2010.50.3.447 |
| Reference:
|
[14] Mohon’ko, A. Z.: On the Nevanlinna characteristics of some meromorphic functions. Theory Funct. Funct. Anal. Appl. 14 (1971), 83–87. MR 0298006 |
| Reference:
|
[15] Mues, E., Steinmetz, N.: Meromorphe funktionen die mit ihrer ableitung werte teilen. Manuscripta Math. 29 (1979), 195–206. Zbl 0416.30028, MR 0545041, 10.1007/BF01303627 |
| Reference:
|
[16] Yang, L. Z.: Solution of a differential equation and its applications. Kodai Math. J. 22 (1999), 458–464. Zbl 1004.30021, MR 1727305, 10.2996/kmj/1138044097 |
| Reference:
|
[17] Yi, H. X.: On characteristic function of a meromorphic function and its derivative. Indian J. Math. 33, 2 (1991), 119–133. Zbl 0799.30018, MR 1140875 |
| Reference:
|
[18] Zhang, Q. C.: The uniqueness of meromorphic functions with their derivatives. Kodai Math. J. 21 (1998), 179–184. Zbl 0932.30027, MR 1645603, 10.2996/kmj/1138043871 |
| Reference:
|
[19] Zhang, Q. C.: Meromorphic function that shares one small function with its derivative. J. Inequal. Pure Appl. Math. 6, 4 (2005), Art. 116, 1–13. Zbl 1097.30033, MR 2178297 |
| Reference:
|
[20] Zhang, T. D., Lü, W. R.: Notes on meromorphic function sharing one small function with its derivative. Complex Var. Ellip. Eqn. 53, 9 (2008), 857–867. MR 2441890, 10.1080/17476930802166386 |
| . |
