On the univalency for certain subclass of analytic functions involving Ruscheweyh derivatives
Let H be the class of functions f(z) of the form f(z)=z+∑ K=2 + ∞a k z k, which are analytic in the unit disk U={z;|z|<1}. In this paper, we introduce a new subclass Bλ(μ,α,ρ) of H and study its inclusion relations, the condition of univalency, and covering theorem. The results obtained include t...
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| Format: | Article |
| Language: | English |
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Wiley
2002-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171202007202 |
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| _version_ | 1832555052071387136 |
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| author | Liu Mingsheng |
| author_facet | Liu Mingsheng |
| author_sort | Liu Mingsheng |
| collection | DOAJ |
| description | Let H
be the class of functions f(z) of the form f(z)=z+∑ K=2 + ∞a k z k, which are analytic in the unit disk U={z;|z|<1}. In this paper, we introduce a new subclass Bλ(μ,α,ρ) of H and study its inclusion relations, the condition of univalency, and covering theorem. The results obtained include the related results of some authors as their special case. We also get some new results. |
| format | Article |
| id | doaj-art-65f71bb6a886491cb37b7785eb86e147 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2002-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-65f71bb6a886491cb37b7785eb86e1472025-02-03T05:49:43ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252002-01-0131956757510.1155/S0161171202007202On the univalency for certain subclass of analytic functions involving Ruscheweyh derivativesLiu Mingsheng0Department of Mathematics, South China Normal University, Guangzhou 510631, ChinaLet H be the class of functions f(z) of the form f(z)=z+∑ K=2 + ∞a k z k, which are analytic in the unit disk U={z;|z|<1}. In this paper, we introduce a new subclass Bλ(μ,α,ρ) of H and study its inclusion relations, the condition of univalency, and covering theorem. The results obtained include the related results of some authors as their special case. We also get some new results.http://dx.doi.org/10.1155/S0161171202007202 |
| spellingShingle | Liu Mingsheng On the univalency for certain subclass of analytic functions involving Ruscheweyh derivatives International Journal of Mathematics and Mathematical Sciences |
| title | On the univalency for certain subclass of analytic
functions involving Ruscheweyh derivatives |
| title_full | On the univalency for certain subclass of analytic
functions involving Ruscheweyh derivatives |
| title_fullStr | On the univalency for certain subclass of analytic
functions involving Ruscheweyh derivatives |
| title_full_unstemmed | On the univalency for certain subclass of analytic
functions involving Ruscheweyh derivatives |
| title_short | On the univalency for certain subclass of analytic
functions involving Ruscheweyh derivatives |
| title_sort | on the univalency for certain subclass of analytic functions involving ruscheweyh derivatives |
| url | http://dx.doi.org/10.1155/S0161171202007202 |
| work_keys_str_mv | AT liumingsheng ontheunivalencyforcertainsubclassofanalyticfunctionsinvolvingruscheweyhderivatives |