| Title:
|
An entire function sharing a polynomial with its linear differential polynomial (English) |
| Author:
|
Kaish, Imrul |
| Author:
|
Rahaman, Md. Majibur |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
143 |
| Issue:
|
2 |
| Year:
|
2018 |
| Pages:
|
213-224 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We study the uniqueness of entire functions which share a polynomial with their linear differential polynomials. (English) |
| Keyword:
|
entire function |
| Keyword:
|
differential polynomial |
| Keyword:
|
derivative |
| Keyword:
|
sharing |
| MSC:
|
30D35 |
| idZBL:
|
Zbl 06890416 |
| idMR:
|
MR3831488 |
| DOI:
|
10.21136/MB.2018.0023-17 |
| . |
| Date available:
|
2018-06-11T11:03:38Z |
| Last updated:
|
2020-07-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147246 |
| . |
| Reference:
|
[1] Hayman, W. K.: Meromorphic Functions.Oxford Mathematical Monographs. Clarendon Press, Oxford (1964). Zbl 0115.06203, MR 0164038 |
| Reference:
|
[2] Jank, G., Mues, E., Volkmann, L.: Meromorphic functions which share some finite value with its first and second derivative.Complex Variables, Theory Appl. 6 (1986), 51-71 German. Zbl 0603.30037, MR 0850534 |
| Reference:
|
[3] Lahiri, I., Kaish, I.: An entire function sharing a polynomial with its derivatives.Boll. Unione Mat. Ital. 10 (2017), 229-240. Zbl 06802157, MR 3655027, 10.1007/s40574-016-0077-x |
| Reference:
|
[4] Laine, I.: Nevanlinna Theory and Complex Differential Equations.De Gruyter Studies in Mathematics 15. W. de Gruyter, Berlin (1992). Zbl 0784.30002, MR 1207139 |
| Reference:
|
[5] Li, P.: Entire functions that share one value with their linear differential polynomials.Kodai Math. J. 22 (1999), 446-457. Zbl 0985.30019, MR 1727304, 10.2996/kmj/1138044096 |
| Reference:
|
[6] Yang, C.-C., Yi, H.-X.: Uniqueness Theory of Meromorphic Functions.Mathematics and Its Applications 557. Kluwer Academic Publishers, Dordrecht; Science Press, Beijing (2003). Zbl 1070.30011, MR 2105668 |
| Reference:
|
[7] Zhong, H. L.: Entire functions that share one value with their derivatives.Kodai Math. J. 18 (1995), 250-259. Zbl 0840.30013, MR 1346904, 10.2996/kmj/1138043421 |
| . |
