Some generalizations of the class of analytic functions with respect to k-symmetric points

Year 2016, Volume: 45 Issue: 1, 1 - 14, 01.02.2016

Syed Zakar Hussain Bukhari Mohsan Raza , Maryam Nazir

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

References

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