| Title:
|
Uniqueness results for differential polynomials sharing a set (English) |
| Author:
|
Sultana, Soniya |
| Author:
|
Sahoo, Pulak |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
150 |
| Issue:
|
1 |
| Year:
|
2025 |
| Pages:
|
85-98 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We investigate the uniqueness results of meromorphic functions if differential polynomials of the form $(Q(f))^{(k)}$ and $(Q(g))^{(k)}$ share a set counting multiplicities or ignoring multiplicities, where $Q$ is a polynomial of one variable. We give suitable conditions on the degree of $Q$ and on the number of zeros and the multiplicities of the zeros of $Q'$. The results of the paper generalize some results due to T. T. H. An and N. V. Phuong (2017) and that of N. V. Phuong (2021). (English) |
| Keyword:
|
uniqueness |
| Keyword:
|
differential polynomials |
| Keyword:
|
set sharing |
| Keyword:
|
small function |
| MSC:
|
30D35 |
| DOI:
|
10.21136/MB.2024.0116-23 |
| . |
| Date available:
|
2025-02-20T16:10:30Z |
| Last updated:
|
2025-02-20 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/152877 |
| . |
| Reference:
|
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| Reference:
|
[2] An, T. T. H., Phuong, N. V.: A lemma about meromorphic functions sharing a small function.Comput. Methods Funct. Theory 22 (2022), 277-286. Zbl 1493.30061, MR 4432482, 10.1007/s40315-021-00388-3 |
| Reference:
|
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| Reference:
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