Making use of a Salagean operator, we introduce a new class of complex valued harmonic functions which are orientation preserving and univalent in the open unit disc. Among the results presented in this paper including the coeffcient bounds, distortion inequality, and covering property, extreme points, certain inclusion results, convolution properties, and partial sums for this generalized class of functions are discussed.
Abstract. Recently Kanas and Ronning introduced the classes of starlike and convex functions, which are normalized withIn this paper we define a new subclass of starlike functions of complex order based on q-hypergeometric functions and continue to obtain coefficient estimates, extreme points, inclusion properties and neighbourhood results for the function class T S ξ (α, β, γ). Further, we obtain integral means inequalities for the function f ∈ T S ξ (α, β, γ).
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