Univalent functions defined by Ruscheweyh derivatives
We study some radii problems concerning the integral operator F(z)=γ+1zγ∫°zuγ−1f(u)du for certain classes, namely Kn and Mn(α), of univalent functions defined by Ruscheweyh derivatives. Infact, we obtain the converse of Ruscheweyh's result and improve a result of Goel and Sohi for complex γ...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1983-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171283000435 |
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| Summary: | We study some radii problems concerning the integral operator
F(z)=γ+1zγ∫°zuγ−1f(u)du
for certain classes, namely Kn and Mn(α), of univalent functions defined by Ruscheweyh derivatives. Infact, we obtain the converse of Ruscheweyh's result and improve a result of Goel and Sohi for complex γ by a different technique. The results are sharp. |
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| ISSN: | 0161-1712 1687-0425 |