Meromorphic univalent function with negative coefficient
Let Mn be the classes of regular functions f(z)=z−1+a0+a1z+… defined in the annulus 0<|z|<1 and satisfying ReIn+1f(z)In+1f(z)>0, (n∈ℕ0), where I0f(z)=f(z), If(z)=(z−1−z(z−1)−2)∗f(z), Inf(z)=I(In−1f(z)), and ∗ is the Hadamard convolution. We denote by Γn=Mn⋃Γ, where Γ denotes the class of fu...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
1994-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171294000293 |