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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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2025-02-01
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| Series: | Open Mathematics |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/math-2024-0117 |
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| Summary: | 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]. |
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| ISSN: | 2391-5455 |