The Normality Criteria of Meromorphic Functions Concerning Shared Fixed-Points
We study the normality criteria of meromorphic functions concerning shared fixed-points; we obtain the following: Let ℱ be a family of meromorphic functions defined in a domain D and k≥2 a positive integer. For every f∈ℱ, all zeros of f are of multiplicity at least k+2 and all poles of f are multip...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2014/654294 |
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| _version_ | 1832565326925004800 |
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| author | Wei Chen Qi Yang Wen-jun Yuan Hong-gen Tian |
| author_facet | Wei Chen Qi Yang Wen-jun Yuan Hong-gen Tian |
| author_sort | Wei Chen |
| collection | DOAJ |
| description | We study the normality criteria of meromorphic functions concerning shared fixed-points; we obtain the following: Let ℱ be a family of meromorphic functions defined in a domain D and k≥2 a positive integer. For every f∈ℱ, all zeros of f are of multiplicity at least k+2 and all poles of f are multiple. If ff(k) and gg(k) share z in D for each pair of functions f and g, then ℱ is normal. |
| format | Article |
| id | doaj-art-bb6560bcc96b48a8920ba586b9fc5164 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-bb6560bcc96b48a8920ba586b9fc51642025-02-03T01:08:06ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2014-01-01201410.1155/2014/654294654294The Normality Criteria of Meromorphic Functions Concerning Shared Fixed-PointsWei Chen0Qi Yang1Wen-jun Yuan2Hong-gen Tian3School of Mathematics Science, Xinjiang Normal University, Urumqi, Xinjiang 830054, ChinaSchool of Mathematics Science, Xinjiang Normal University, Urumqi, Xinjiang 830054, ChinaSchool of Mathematics and Information Sciences, Guangzhou University, Guangzhou, Guangdong 510006, ChinaSchool of Mathematics Science, Xinjiang Normal University, Urumqi, Xinjiang 830054, ChinaWe study the normality criteria of meromorphic functions concerning shared fixed-points; we obtain the following: Let ℱ be a family of meromorphic functions defined in a domain D and k≥2 a positive integer. For every f∈ℱ, all zeros of f are of multiplicity at least k+2 and all poles of f are multiple. If ff(k) and gg(k) share z in D for each pair of functions f and g, then ℱ is normal.http://dx.doi.org/10.1155/2014/654294 |
| spellingShingle | Wei Chen Qi Yang Wen-jun Yuan Hong-gen Tian The Normality Criteria of Meromorphic Functions Concerning Shared Fixed-Points Discrete Dynamics in Nature and Society |
| title | The Normality Criteria of Meromorphic Functions Concerning Shared Fixed-Points |
| title_full | The Normality Criteria of Meromorphic Functions Concerning Shared Fixed-Points |
| title_fullStr | The Normality Criteria of Meromorphic Functions Concerning Shared Fixed-Points |
| title_full_unstemmed | The Normality Criteria of Meromorphic Functions Concerning Shared Fixed-Points |
| title_short | The Normality Criteria of Meromorphic Functions Concerning Shared Fixed-Points |
| title_sort | normality criteria of meromorphic functions concerning shared fixed points |
| url | http://dx.doi.org/10.1155/2014/654294 |
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