Geodesic
Certain subclasses of close-to-convex and quasi-convex functions with respect to $k$-symmetric points
Lobachevskii journal of mathematics, Tome 21 (2006), pp. 73-83.

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In the present paper, the author introduce two new subclasses $\mathcal C^{(k)}(\alpha,\beta,\gamma)$ of close-to-convex functions and $\mathcal QC^{(k)}(\alpha,\beta,\gamma)$ of quasi-convex functions with respect to $k$-symmetric points. The sufficient conditions and integral representations for functions belonging to these classes are provided, the inclusion relationships and convolution conditions for these classes are also provided.
Keywords: close-to-convex functions, quasi-convex functions, differential subordination, $k$-symmetric points.
Mots-clés : Hadamard product 
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Zh.-G. Wang. Certain subclasses of close-to-convex and quasi-convex functions with respect to $k$-symmetric points. Lobachevskii journal of mathematics, Tome 21 (2006), pp. 73-83. http://geodesic.mathdoc.fr/item/LJM_2006_21_a5/

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