The main objective of this paper is to study a new family analytic functions that are q-starlike with respect m-symmetrical points and subordinate the q-Janowski function. We investigate inclusion results, sufficient conditions, coefficients estimates, bounds for Fekete–Szego functional |a3−μa22| convolution properties belonging class. Several consequences results also obtained.

In this article we define a class of starlike functions with respect to symmetric points in the domain sine function. Also, investigate coefficients bounds and upper for third order Hankel determinant defined class. We also evaluate Zalcman functional \(|a_{3}^{2}-a_{5}|\). Specializing parameters, improve functions.

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.

In this paper, we introduce some classes of univalent harmonic functions with respect to the symmetric conjugate points by means subordination, analytic parts which are reciprocal starlike (or convex) functions. Further, discuss geometric properties classes, such as integral expression, coefficient estimation, distortion theorem, Jacobian growth estimates, and covering theorem.

In this paper, we familiarize a class of multivalent functions with respect to symmetric points related the differential operator and discuss impact Janowski on conic regions. Inclusion results, subordination property, coefficient inequalities are obtained. Further, applications our results that extensions those given in earlier works presented as corollaries.

In this paper the authors studied the coefficient estimate of a class of functions starlike with respect to k-symmetric points defined by derivative operators D n λ introduced by Al-Shaqsi and Darus [6]. The integral representation and several coefficient inequalities of functions belonging to this class are obtained. 1 Introduction Let A denote the class of functions of the form: f (z) = z + ∞...