Uniqueness of certain differential polynomial of $L$-functions and meromorphic functions sharing a polynomial
The purpose of this paper is to obtain some sufficient conditions to determine the relation between a meromorphic function and an $L$-function when certain differential polynomial generated by them sharing a one degree polynomial. The main theorem of the paper extends and improves all the results du...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Vasyl Stefanyk Precarpathian National University
2021-06-01
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| Series: | Karpatsʹkì Matematičnì Publìkacìï |
| Subjects: | |
| Online Access: | https://journals.pnu.edu.ua/index.php/cmp/article/view/3914 |
| _version_ | 1797205786159480832 |
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| author | A. Banerjee S. Bhattacharyya |
| author_facet | A. Banerjee S. Bhattacharyya |
| author_sort | A. Banerjee |
| collection | DOAJ |
| description | The purpose of this paper is to obtain some sufficient conditions to determine the relation between a meromorphic function and an $L$-function when certain differential polynomial generated by them sharing a one degree polynomial. The main theorem of the paper extends and improves all the results due to W.J. Hao, J.F. Chen [Discrete Dyn. Nat. Soc. 2018, 2018, article ID 4673165], F. Liu, X.M. Li, H.X. Yi [Proc. Japan Acad. Ser. A Math. Sci. 2017, 93 (5), 41-46], P. Sahoo, S. Halder [Tbilisi Math. J. 2018, 11 (4), 67-78]. |
| first_indexed | 2024-04-24T08:56:39Z |
| format | Article |
| id | doaj.art-3e8e470ce4f44a17ac8ae402525b199f |
| institution | Directory Open Access Journal |
| issn | 2075-9827 2313-0210 |
| language | English |
| last_indexed | 2024-04-24T08:56:39Z |
| publishDate | 2021-06-01 |
| publisher | Vasyl Stefanyk Precarpathian National University |
| record_format | Article |
| series | Karpatsʹkì Matematičnì Publìkacìï |
| spelling | doaj.art-3e8e470ce4f44a17ac8ae402525b199f2024-04-16T07:05:54ZengVasyl Stefanyk Precarpathian National UniversityKarpatsʹkì Matematičnì Publìkacìï2075-98272313-02102021-06-0113118920610.15330/cmp.13.1.189-2063403Uniqueness of certain differential polynomial of $L$-functions and meromorphic functions sharing a polynomialA. Banerjee0S. Bhattacharyya1University of Kalyani, West Bengal, 741235, IndiaJangipur Government Polytechnic, West Bengal, 742225, IndiaThe purpose of this paper is to obtain some sufficient conditions to determine the relation between a meromorphic function and an $L$-function when certain differential polynomial generated by them sharing a one degree polynomial. The main theorem of the paper extends and improves all the results due to W.J. Hao, J.F. Chen [Discrete Dyn. Nat. Soc. 2018, 2018, article ID 4673165], F. Liu, X.M. Li, H.X. Yi [Proc. Japan Acad. Ser. A Math. Sci. 2017, 93 (5), 41-46], P. Sahoo, S. Halder [Tbilisi Math. J. 2018, 11 (4), 67-78].https://journals.pnu.edu.ua/index.php/cmp/article/view/3914nevanlinna theory$l$-functionshared valueweighted sharingdifferential polynomialuniqueness |
| spellingShingle | A. Banerjee S. Bhattacharyya Uniqueness of certain differential polynomial of $L$-functions and meromorphic functions sharing a polynomial Karpatsʹkì Matematičnì Publìkacìï nevanlinna theory $l$-function shared value weighted sharing differential polynomial uniqueness |
| title | Uniqueness of certain differential polynomial of $L$-functions and meromorphic functions sharing a polynomial |
| title_full | Uniqueness of certain differential polynomial of $L$-functions and meromorphic functions sharing a polynomial |
| title_fullStr | Uniqueness of certain differential polynomial of $L$-functions and meromorphic functions sharing a polynomial |
| title_full_unstemmed | Uniqueness of certain differential polynomial of $L$-functions and meromorphic functions sharing a polynomial |
| title_short | Uniqueness of certain differential polynomial of $L$-functions and meromorphic functions sharing a polynomial |
| title_sort | uniqueness of certain differential polynomial of l functions and meromorphic functions sharing a polynomial |
| topic | nevanlinna theory $l$-function shared value weighted sharing differential polynomial uniqueness |
| url | https://journals.pnu.edu.ua/index.php/cmp/article/view/3914 |
| work_keys_str_mv | AT abanerjee uniquenessofcertaindifferentialpolynomialoflfunctionsandmeromorphicfunctionssharingapolynomial AT sbhattacharyya uniquenessofcertaindifferentialpolynomialoflfunctionsandmeromorphicfunctionssharingapolynomial |