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

Voir la notice de l'article provenant de la source Math-Net.Ru

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 
@article{LJM_2006_21_a5,
     author = {Zh.-G. Wang},
     title = {Certain subclasses of close-to-convex and quasi-convex functions with respect to $k$-symmetric points},
     journal = {Lobachevskii journal of mathematics},
     pages = {73--83},
     publisher = {mathdoc},
     volume = {21},
     year = {2006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/LJM_2006_21_a5/}
}
TY  - JOUR
AU  - Zh.-G. Wang
TI  - Certain subclasses of close-to-convex and quasi-convex functions with respect to $k$-symmetric points
JO  - Lobachevskii journal of mathematics
PY  - 2006
SP  - 73
EP  - 83
VL  - 21
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/LJM_2006_21_a5/
LA  - en
ID  - LJM_2006_21_a5
ER  - 
%0 Journal Article
%A Zh.-G. Wang
%T Certain subclasses of close-to-convex and quasi-convex functions with respect to $k$-symmetric points
%J Lobachevskii journal of mathematics
%D 2006
%P 73-83
%V 21
%I mathdoc
%U http://geodesic.mathdoc.fr/item/LJM_2006_21_a5/
%G en
%F LJM_2006_21_a5
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/