Search

In this paper, we present a novel subclass of multivalent harmonic functions that incorporates higher-order derivatives within an open unit disk. We investigate growth estimates, convexity radii, starlikeness, and coefficient bounds specific to this class. Furthermore, we explore the closed property of this subclass under convolution operations.

In the present paper, a new subclass of complex-valued harmonic functions in the open unit disk is introduced and coefficient bounds, growth estimates, radius of univalency, radius of starlikeness and radius of convexity of this class are investigated. In addition, it is shown that this class is closed under convolution of its members.

In this paper, we establish some results concerning the convolutions of harmonic mappings convex in the horizontal direction with harmonic vertical strip mappings. Furthermore, we provide examples illustrated graphically with the help of Maple to illuminate the results.