A generalized class of Harmonic Univalent Functions associated with Salagean Operators Involving Convolutions

In this paper, we introduce a generalized class Si H (m,n, φ, ψ;α) , i ∈ {0, 1} of harmonic univalent functions. A sufficient coefficient condition for the normalized harmonic function to be in this class is obtained. It is also shown that this coefficient condition is necessary for its subclass T SH (m,n, φ, ψ;α). We further, obtain extreme points, bounds and a covering result for the class T SH (m,n, φ, ψ;α) and show that this class is closed under convolutions and convex combinations. In proving our results certain conditions on the coefficients of φ and ψ are considered which lead various well-known results proved earlier. 2000 Mathematics Subject Classification: 30C45, 30C50.