CERTAIN SUBCLASS OF HARMONIC MULTIVALENT FUNCTIONS DEFINED BY DERIVATIVE OPERATOR

Abstract

In the present paper, we investigate new properties of a new subclass of multivalent harmonic functions in the open unit disc
U = {z ∈ C : |z| < 1}, under certain conditions involving a new generalized differential operator. Furthermore, a representation theorem, an integral property and convolution conditions for the subclass denoted by ALf H(p, m, δ, α, λ, l) are also obtained. Finally, we will give an application of neighborhood.