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On the Logarithmic Derivative of Some Bazilevic Functions
Publications de l'Institut Mathématique, _N_S_46 (1989) no. 60, p. 71
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For $\a>0$, $0\le\b1$, let $B_0(\alpha,\beta)$ be the class of normalised analytic functions $f$ defined in the open unit disc $D$ such that $ \operatorname{Re}e^{i\psi}(f'(z)(f(z)/z)^{\alpha-1}-\beta)>0 $ for $z\in D$ and for some $\psi=\psi(f)\in R$. Upper and lower bounds for the logarithmic derivative $zf'/f$ for $f\in B_0(\alpha,\beta)$ are obtained.
Classification : 30C45 
@article{PIM_1989_N_S_46_60_a10,
     author = {S. Abdul Halim and R. R. London and D. K. Thomas},
     title = {On the {Logarithmic} {Derivative} of {Some} {Bazilevic} {Functions}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {71 },
     year = {1989},
     volume = {_N_S_46},
     number = {60},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1989_N_S_46_60_a10/}
}
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S. Abdul Halim; R. R. London; D. K. Thomas. On the Logarithmic Derivative of Some Bazilevic Functions. Publications de l'Institut Mathématique, _N_S_46 (1989) no. 60, p. 71 . http://geodesic.mathdoc.fr/item/PIM_1989_N_S_46_60_a10/