Abstract The main idea of the study on coefficient problems in various classes analytic functions (univalent or nonunivalent) is to express coefficients a given class by corresponding with positive real part. Thus, functionals can be studied using inequalities known for $${\mathcal {P}}$$ P . Lemmas obtained ...

Abstract In this paper, we obtain the bounds of initial logarithmic coefficients for functions in classes $${\mathcal {S}}_S^*$$ S ? and {K}}_S$$ K which are starlike with respect to symmetric points convex points, respectiv...

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.

An analytic functions f(z) defined on 4 = {z : |z| < 1} and normalized by f(0) = 0, f ′(0) = 1 is starlike with respect to 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