A Study on Harmonic Functions

Authors

  • Mehmet Fatih Uçar İstanbul Kültür University, Turkey
  • Hatice Esra Özkan Uçar İstanbul Health and Technology University, Turkey

DOI:

https://doi.org/10.7546/CRABS.2024.09.01

Keywords:

harmonic function, bounded radius rotation

Abstract

The class of functions that have bounded boundary rotation and bounded radius rotation are the generalization of the convex and the starlike functions, respectively. The concept of such functions was introduced by Löwner [1]. But he did not use the present terminology. It was Paatero [2, 3] who systematically developed their properties and made an exhaustive study of the class of functions that have bounded boundary rotation. We will examine in this paper, the subclass of $${\mathcal S}_{H}$$ that is related to the class of functions that have bounded radius rotation.

Author Biographies

Mehmet Fatih Uçar, İstanbul Kültür University, Turkey

Mailing Address:
Department of Mathematics and Computer Sciences,
İstanbul Kültür University,
Istanbul, Turkey

E-mail: f.ucar@iku.edu.tr

Hatice Esra Özkan Uçar, İstanbul Health and Technology University, Turkey

Mailing Address:
Department of Software Engineering,
İstanbul Health and Technology University,
Istanbul, Turkey

E-mail: hatice.ucar@istun.edu.tr

Downloads

Published

30-09-2024

How to Cite

[1]
M. Uçar and H. Uçar, “A Study on Harmonic Functions”, C. R. Acad. Bulg. Sci., vol. 77, no. 9, pp. 1271–1276, Sep. 2024.

Issue

Section

Mathematics