Geodesic
A general subclass of close-to-convex functions
Kragujevac Journal of Mathematics, Tome 36 (2012) no. 2, p. 251

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In this present work, we consider a general subclass $C^*[A,B]$ of close-to-convex functions, which denote by $f(z)=z+\sum\limits_{n=2}^{\infty}a_nz^n$ in $U=\{z:|z|1\}$ and which satisfy the following condition: $\bigg|\frac{(zf'(z))'}{g'(z)}-1\bigg|\bigg|A-B\frac{(zf'(z))'}{g'(z)}\bigg|,\qquad (-1eqslant B
Classification : 30C45 30C50
Keywords: Analytic Functions, Univalent Function, Subordination, Convex, Close-to-Convex 
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     author = {Liangpeng Xiong and Xiaoli Liu},
     title = {A general subclass of close-to-convex functions},
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Liangpeng Xiong; Xiaoli Liu. A general subclass of close-to-convex functions. Kragujevac Journal of Mathematics, Tome 36 (2012) no. 2, p. 251 . http://geodesic.mathdoc.fr/item/KJM_2012_36_2_a7/