On certain multivalent analytic functions starlike with respect to k-symmetric 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 Coefficient Inequalities for Certain Subclasses of Analytic Functions with respect to k-Symmetric Points

In the present paper, we introduce two new subclasses B (k) λ (α) and L (k) λ (α) of analytic functions with respect to k-symmetric points. Some coefficient inequalities for functions belonging to these classes and their subclasses with positive coefficients are provided.

On Starlike and Convex Functions with Respect to k-Symmetric Points

We introduce new subclasses S σ,s k λ, δ, φ and K σ,s k λ, δ, φ of analytic functions with respect to k-symmetric points defined by differential operator. Some interesting properties for these classes are obtained.

Multivalent Functions With Respect To Symmetric Conjugate Points

Using convolution, classes of p-valent functions with respect to symmetric conjugate points are introduced. Integral representation and closure properties under convolution of general classes with respect to (2j, k) symmetric points are investigated. AMS (MOS) Subject Classification Codes: 30C45

On Meromorphic Harmonic Functions with Respect to k-Symmetric Points