On univalent functions defined by a generalized Sălăgean operator
We introduce a class of univalent functions Rn(λ,α) defined by a new differential operator Dnf(z), n∈ℕ0={0,1,2,…}, where D0f(z)=f(z), D1f(z)=(1−λ)f(z)+λzf′(z)=Dλf(z), λ≥0, and Dnf(z)=Dλ(Dn−1f(z)). Inclusion relations, extreme points of Rn(λ,α), some convolution properties of functions belonging to R...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2004-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171204108090 |