Some results on value distribution concerning Hayman's alternative
In this article, we study the value distribution of meromorphic functions concerning Hayman’s alternative. We extend and improve some results due to Zhu [A far-reaching form of Hayman’s inequality; fixed points of meromorphic functions and their derivatives, Kexue Tongbao (Chinese) 31 (1986), no. 11...
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| Format: | Article |
| Language: | English |
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De Gruyter
2025-02-01
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| Series: | Open Mathematics |
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| Online Access: | https://doi.org/10.1515/math-2024-0117 |
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| author | Zhuang Xinyu Zheng Ruilin He Zhiying Fang Mingliang |
| author_facet | Zhuang Xinyu Zheng Ruilin He Zhiying Fang Mingliang |
| author_sort | Zhuang Xinyu |
| collection | DOAJ |
| description | In this article, we study the value distribution of meromorphic functions concerning Hayman’s alternative. We extend and improve some results due to Zhu [A far-reaching form of Hayman’s inequality; fixed points of meromorphic functions and their derivatives, Kexue Tongbao (Chinese) 31 (1986), no. 11, 801–804], Hua and Chuang [On a conjecture of Hayman, Acta Math. Sinica (N.S.) 7 (1991), no. 2, 119–126], and Charak and Singh [A value distribution result related to Hayman’s alternative, Commun. Korean Math. Soc. 34 (2019), no. 2, 495–506]. |
| format | Article |
| id | doaj-art-474a71f5809b4a0eab251632ab7fa75c |
| institution | Kabale University |
| issn | 2391-5455 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Open Mathematics |
| spelling | doaj-art-474a71f5809b4a0eab251632ab7fa75c2025-02-10T13:24:36ZengDe GruyterOpen Mathematics2391-54552025-02-0123180180410.1515/math-2024-0117Some results on value distribution concerning Hayman's alternativeZhuang Xinyu0Zheng Ruilin1He Zhiying2Fang Mingliang3Department of Engineering, Shenzhen MSU-BIT University, Shenzhen 518172, ChinaDepartment of Mathematics and Informatics, South China Agricultural University, Guangzhou, 510642, ChinaDepartment of Mathematics, Hangzhou Dianzi University, Hangzhou 310018, ChinaDepartment of Engineering, Shenzhen MSU-BIT University, Shenzhen 518172, ChinaIn this article, we study the value distribution of meromorphic functions concerning Hayman’s alternative. We extend and improve some results due to Zhu [A far-reaching form of Hayman’s inequality; fixed points of meromorphic functions and their derivatives, Kexue Tongbao (Chinese) 31 (1986), no. 11, 801–804], Hua and Chuang [On a conjecture of Hayman, Acta Math. Sinica (N.S.) 7 (1991), no. 2, 119–126], and Charak and Singh [A value distribution result related to Hayman’s alternative, Commun. Korean Math. Soc. 34 (2019), no. 2, 495–506].https://doi.org/10.1515/math-2024-0117meromorphic functionsvalue distributiondifferential polynomialshayman’s alternative30d3030d35 |
| spellingShingle | Zhuang Xinyu Zheng Ruilin He Zhiying Fang Mingliang Some results on value distribution concerning Hayman's alternative Open Mathematics meromorphic functions value distribution differential polynomials hayman’s alternative 30d30 30d35 |
| title | Some results on value distribution concerning Hayman's alternative |
| title_full | Some results on value distribution concerning Hayman's alternative |
| title_fullStr | Some results on value distribution concerning Hayman's alternative |
| title_full_unstemmed | Some results on value distribution concerning Hayman's alternative |
| title_short | Some results on value distribution concerning Hayman's alternative |
| title_sort | some results on value distribution concerning hayman s alternative |
| topic | meromorphic functions value distribution differential polynomials hayman’s alternative 30d30 30d35 |
| url | https://doi.org/10.1515/math-2024-0117 |
| work_keys_str_mv | AT zhuangxinyu someresultsonvaluedistributionconcerninghaymansalternative AT zhengruilin someresultsonvaluedistributionconcerninghaymansalternative AT hezhiying someresultsonvaluedistributionconcerninghaymansalternative AT fangmingliang someresultsonvaluedistributionconcerninghaymansalternative |