Subclasses of analytic functions with respect to symmetric and conjugate points

Abstract

In this paper, we introduce new subclasses of convex and starlike functions with respect to other points. The coefficient estimates for these classes are obtained. ReThese functions are called starlike with respect to symmetric points and were introduced by Sakaguchi in 1959. Ashwah and Thomas in [2] introduced another class namely the class S * c consisting of functions starlike with respect to conjugate points.

Fekete-Szego problem for certain analytic functions defined by q−derivative operator with respect to symmetric and conjugate points

“…Motivated by earlier work done by [1], [3], [4], [5], [8] and [14]. In this present investigation, the Fekete-Szego problem for certain classes of analytic function defined by q−derivative operator with respect to symmetric and conjugate points were considered.…”

“…See details in [3], [4] and [14]. For q ∈ (0, 1), Jackson's q−derivative [[6], [7]] of a function f ∈ A is given by…”

Certain Class of Analytic Functions with respect to Symmetric Points Defined by Q-Calculus

“…Inspired by the theory familiarized by Sakaguchi [17], and the study on analytic functions with respect to (j, k)-symmetrical points by various authors (see [18][19][20][21][22]), under this article, we formulate new subclasses listed in Definition 2.…”

New Subclasses of Analytic Functions with Respect to Symmetric and Conjugate Points

“…Motivated by the pervious classes, Selvaraj and Vasanthi [10] de�ned the following classes of functions with respect to symmetric and conjugate points.…”