On a class of univalent functions defined by a generalized Sălăgean operator

Abstract

In F.M. Al-Oboudi, On univalent functions defined by a generalized Sălăgean operator, Indian J. Math. Math. Sci. 25-28 (2004), pp. 1429–1436, by using the operator D _λ ⁿ f (z), z  ∈ U, (Definition 3), the author introduces a class of univalent functions denoted by R ⁿ (λ, α). Some convolution properties of functions belonging to R ⁿ (λ, α) and other results are given. In this article we obtain certain differential subordinations related to this class and we give the best dominants.

Keywords:

• differential operator
• differential subordination
• dominant
• best dominant

AMS Subject Classifications: :

• primary 30C80
• secondary 30C45
• 30A20
• 34A40