Starlike and Convex Functions with Respect to Conjugate Points

Starlike Functions of order α With Respect To 2(j,k)-Symmetric Conjugate Points

In this paper, we introduced and investigated starlike and convex functions of order α with respect to 2(j,k)-symmetric conjugate points and coefficient inequality for function belonging to these classes are provided . Also we obtain some convolution condition for functions belonging to this class.

Some Properties of Certain Subclasses of Close-to-Convex and Quasi-convex Functions with Respect to 2k-Symmetric Conjugate Points

Convolutions of meromorphic multivalent functions with respect to n-ply points and symmetric conjugate points

It is well-known that the classes of starlike, convex and close-to-convex univalent functions are closed under convolution with convex functions. In this paper, closure properties under convolution of general classes of meromorphic p-valent functions that are either starlike, convex or close-to-convex with respect to n-ply symmetric, conjugate and symmetric conjugate points are investigated. 20...

NEW CLASSES OF k-UNIFORMLY CONVEX AND STARLIKE FUNCTIONS WITH RESPECT TO OTHER POINTS

In this paper we introduce new subclasses of k-uniformly convex and starlike functions with respect to other points. We provide necessary and sufficient conditions, coefficient estimates, distortion bounds, extreme points and radii of close-to-convexity, starlikeness and convexity for these classes. We also obtain integral means inequalities with the extremal functions for these classes.

COEFFICIENT ESTIMATES OF NEW CLASSES OF q−STARLIKE AND q−CONVEX FUNCTIONS OF COMPLEX ORDER WITH RESPECT TO (j, k)−SYMMETRIC POINTS

We introduce new classes of q−starlike and q−convex functions of complex order with respect to (j, k)−symmetric points. Furthermore, the application of the results are also illustrated. We find estimates on the coefficients for second and third coefficients of these classes. Mathematics Subject Classification (2010): 30C45.