On a class of univalent functions
We consider the class of univalent functions f(z)=z+a3z3+a4z4+⋯ analytic in the unit disc and satisfying |(z2f′(z)/f2(z))−1|<1, and show that such functions are starlike if they satisfy |(z2f′(z)/f2(z))−1|<(1/2).
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2000-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171200001824 |