Exploration of Multivalent Harmonic Functions: Investigating Essential Properties

Year 2025, Early Access, 1 - 13

Serkan Çakmak

https://doi.org/10.15672/hujms.1428478

Abstract

Within this manuscript, we introduce an innovative subclass of multivalent harmonic functions, encompassing higher-order derivatives within the confines of an open unit disk. Our investigation extends to the analysis of coefficient bounds, growth estimates, starlikeness, and convexity radii uniquely associated with this particular class. Furthermore, we scrutinize the property of closure under convolution operations for this subclass.

Keywords

harmonic multivalent functions, coefficient bounds, distortion theorem, starlikeness radii, convexity radii, convolution

References

• [1] O.P. Ahuja and J.M. Jahangiri, Multivalent harmonic starlike functions with missing coefficients, Math. Sci. Res. J. 7, 347-352, 2003.