Some Properties of Certain Multivalent Harmonic Functions

In this paper, various features of a new class of normalized multivalent harmonic functions in the open unit disk are analyzed, including bounds on coefficients, growth estimations, starlikeness and convexity radii. It is further demonstrated that this class is closed when its members are convoluted. It can also be seen that various previously introduced and investigated classes of multivalent harmonic functions appear as special cases for this class.

Automated summary

This paper analyzes various features of a new class of normalized multivalent harmonic functions, including coefficients bounds, growth estimations, starlikeness, and convexity radii. It further demonstrates the closure property of this class under convolution operation. Moreover, it shows that several previously introduced and investigated classes of multivalent harmonic functions are special cases of this class.