On a Theorem of Schwick
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2014
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866913236465483776 |
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| author | Datt, Gopal Kumar, Sanjay |
| author_facet | Datt, Gopal Kumar, Sanjay |
| contents | Let D be a domain, n, k be positive integers and n >= K+3. Let F be a family of functions meromorphic in D. If each f in F satisfies (f^n)^(k) not equal to 1 for z in D, then F is normal family. This result was proved by Schwick. In this paper we extend this result. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1403_1447 |
| institution | arXiv |
| publishDate | 2014 |
| record_format | arxiv |
| spellingShingle | On a Theorem of Schwick Datt, Gopal Kumar, Sanjay Complex Variables 30D45 Let D be a domain, n, k be positive integers and n >= K+3. Let F be a family of functions meromorphic in D. If each f in F satisfies (f^n)^(k) not equal to 1 for z in D, then F is normal family. This result was proved by Schwick. In this paper we extend this result. |
| title | On a Theorem of Schwick |
| topic | Complex Variables 30D45 |
| url | https://arxiv.org/abs/1403.1447 |