A new class of harmonic univalent functions by the generalized Salagean operator

A complex-valued harmonic functions that are univalent and sense preserving in the unit disk U can be written in the form , where h and g are analytic in U. We define and investigate a new class SHP_λ(α, β) by generalized Salagean operator of harmonic univalent functions. We give sufficient coefficient conditions for normalized harmonic functions in the class SHP_λ(α,β). These conditions are also shown to be necessary when the coefficients are negative. This leads to distortion bounds and extreme points. Biography: LI Shuahi (1966–), male, visiting researcher, Associate professor of Chifeng University, research direction: geometric function theory and applications.