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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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
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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| Summary: | 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. |
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| ISSN: | 0161-1712 1687-0425 |