|
Lobachevskii Journal of Mathematics, 2006, Volume 21, Pages 73–83
(Mi ljm50)
|
|
|
|
Certain subclasses of close-to-convex and quasi-convex functions with respect to $k$-symmetric points
Zh.-G. Wang Changsha University of Science and Technology
Abstract:
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, Hadamard product, $k$-symmetric points.
Citation:
Zh.-G. Wang, “Certain subclasses of close-to-convex and quasi-convex functions with respect to $k$-symmetric points”, Lobachevskii J. Math., 21 (2006), 73–83
Linking options:
https://www.mathnet.ru/eng/ljm50 https://www.mathnet.ru/eng/ljm/v21/p73
|
Statistics & downloads: |
Abstract page: | 242 | Full-text PDF : | 114 | References: | 26 |
|