Yasemin Kahramaner

Harmonic function for which the second dilatation is α-spiral

Let f=h+g¯ be a harmonic function in the unit disc D. We will give some properties of f under the condition the second dilatation is α-spiral.MSC:30C45, 30C55.

A Certain Class of Harmonic Mappings Related to Functions of Bounded Radius Rotation

Let \(R_k\) be the class of functions with bounded radius rotation and let \(S_H\) be the class of sense-preserving harmonic mappings. In the present paper we investigate a certain class of harmonic mappings related to the function of bounded radius rotation.

On the class of harmonic mappings which is related to the class of bounded boundary rotation

The class of bounded radius of rotation is generalization of the convex functions. The concept of functions bounded boundary rotation originated from Loewner (1917). But he did not use the present terminology. It was Paatero (1931, 1933) who systematically developed their properties and made an exhaustive study of the class V k .In the present paper we will investigate the class of harmonic mappings which is related to the class of bounded boundary rotation.

An investigation on a new class of harmonic mappings

In the present paper, we give an extension of the idea which was introduced by Sakaguchi (J. Math. Soc. Jpn. 11:72-75, 1959), and we give some applications of this extended idea for the investigation of the class of harmonic mappings.MSC:30C45, 30C55.