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

Authors : Syed Zakar Hussain BUKHARİ, Mohsan RAZA, Maryam NAZİR

Pages : 1-14

View : 62 | Download : 10

Publication Date : 2016-02-01

Article Type : Research Paper

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 $S_{s}^{k}insert ignore into journalissuearticles values(\alpha,\beta);$ and $C_{s}^{k}insert ignore into journalissuearticles values(\alpha,\beta);$. 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

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