Entire function sharing two polynomials with its $k$th derivative
We investigate the uniqueness problem of entire functions that share two polynomials with their $k$th derivatives and obtain some results which improve and generalize the recent result due to Lü and Yi (2011). Also, we exhibit some examples to show that the conditions of our results are the best pos...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Institute of Mathematics of the Czech Academy of Science
2024-04-01
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| Series: | Mathematica Bohemica |
| Subjects: | |
| Online Access: | https://mb.math.cas.cz/full/149/1/mb149_1_8.pdf |
| _version_ | 1797266219377623040 |
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| author | Sujoy Majumder Nabadwip Sarkar |
| author_facet | Sujoy Majumder Nabadwip Sarkar |
| author_sort | Sujoy Majumder |
| collection | DOAJ |
| description | We investigate the uniqueness problem of entire functions that share two polynomials with their $k$th derivatives and obtain some results which improve and generalize the recent result due to Lü and Yi (2011). Also, we exhibit some examples to show that the conditions of our results are the best possible. |
| first_indexed | 2024-04-25T00:57:13Z |
| format | Article |
| id | doaj.art-7897b95d0448485c8825ca11b3db45b6 |
| institution | Directory Open Access Journal |
| issn | 0862-7959 2464-7136 |
| language | English |
| last_indexed | 2024-04-25T00:57:13Z |
| publishDate | 2024-04-01 |
| publisher | Institute of Mathematics of the Czech Academy of Science |
| record_format | Article |
| series | Mathematica Bohemica |
| spelling | doaj.art-7897b95d0448485c8825ca11b3db45b62024-03-11T09:20:43ZengInstitute of Mathematics of the Czech Academy of ScienceMathematica Bohemica0862-79592464-71362024-04-0114918710310.21136/MB.2023.0017-22MB.2023.0017-22Entire function sharing two polynomials with its $k$th derivativeSujoy MajumderNabadwip SarkarWe investigate the uniqueness problem of entire functions that share two polynomials with their $k$th derivatives and obtain some results which improve and generalize the recent result due to Lü and Yi (2011). Also, we exhibit some examples to show that the conditions of our results are the best possible.https://mb.math.cas.cz/full/149/1/mb149_1_8.pdf meromorphic function derivative nevanlinna theory uniqueness |
| spellingShingle | Sujoy Majumder Nabadwip Sarkar Entire function sharing two polynomials with its $k$th derivative Mathematica Bohemica meromorphic function derivative nevanlinna theory uniqueness |
| title | Entire function sharing two polynomials with its $k$th derivative |
| title_full | Entire function sharing two polynomials with its $k$th derivative |
| title_fullStr | Entire function sharing two polynomials with its $k$th derivative |
| title_full_unstemmed | Entire function sharing two polynomials with its $k$th derivative |
| title_short | Entire function sharing two polynomials with its $k$th derivative |
| title_sort | entire function sharing two polynomials with its k th derivative |
| topic | meromorphic function derivative nevanlinna theory uniqueness |
| url | https://mb.math.cas.cz/full/149/1/mb149_1_8.pdf |
| work_keys_str_mv | AT sujoymajumder entirefunctionsharingtwopolynomialswithitskthderivative AT nabadwipsarkar entirefunctionsharingtwopolynomialswithitskthderivative |