- Hacettepe Journal of Mathematics and Statistics
- Vol: 45 Issue: 1
- Some generalizations of the class of analytic functions with respect to k-symmetric points
Some generalizations of the class of analytic functions with respect to k-symmetric points
Authors : Syed Zakar Hussain Bukhari, Mohsan Raza, Maryam Nazir
Pages : 1-14
View : 11 | Download : 4
Publication Date : 2016-02-01
Article Type : Research
Abstract :In this article, we introduce a new class $M_{s}^{k}[\alpha,\beta,\lambda]$ which generalizes the various classes of analytic functions with respect to k-symmetric points. Naturally, the class $M_{s}^{k}[\alpha,\beta,\lambda]$ combines the classes $S_{s}^{k}(\alpha,\beta)$ and $C_{s}^{k}(\alpha,\beta)$. We also study the coefficient estimates and obtain some inequalities related to the coefficients of functions in these classes. We develop the integral representation, inclusions and convolution conditions for the functions in the class $M_{s}^{k}[\alpha,\beta,\lambda]$ .Keywords : Convex Functions, Starlike functions, Symmetric points, Subordination